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Finding the Fourth Proportional to 1,149.12, 1,723.68 and 379.68

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Solution

The fourth proportional to 1,149.12, 1,723.68 and 379.68 is: 569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.12 : 1,723.68 = 379.68 : x
  2. Step 2: Convert to fraction form
    1,149.12/1,723.68 = 379.68/x
  3. Step 3: Cross multiply
    1,149.12x = 1,723.68 × 379.68
  4. Step 4: Simplify right side
    1,149.12x = 654,446.82
  5. Step 5: Solve for x
    x = 654,446.82/1,149.12
  6. Step 6: Final answer
    x = 569.52

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.