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Finding the Fourth Proportional to 1,165.12, 1,608.19 and 722.77

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Solution

The fourth proportional to 1,165.12, 1,608.19 and 722.77 is: 997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.12 : 1,608.19 = 722.77 : x
  2. Step 2: Convert to fraction form
    1,165.12/1,608.19 = 722.77/x
  3. Step 3: Cross multiply
    1,165.12x = 1,608.19 × 722.77
  4. Step 4: Simplify right side
    1,165.12x = 1,162,345.66
  5. Step 5: Solve for x
    x = 1,162,345.66/1,165.12
  6. Step 6: Final answer
    x = 997.62

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.