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Finding the Fourth Proportional to 1,234.69, 1,703.91 and 675.19

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Solution

The fourth proportional to 1,234.69, 1,703.91 and 675.19 is: 931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.69 : 1,703.91 = 675.19 : x
  2. Step 2: Convert to fraction form
    1,234.69/1,703.91 = 675.19/x
  3. Step 3: Cross multiply
    1,234.69x = 1,703.91 × 675.19
  4. Step 4: Simplify right side
    1,234.69x = 1,150,462.99
  5. Step 5: Solve for x
    x = 1,150,462.99/1,234.69
  6. Step 6: Final answer
    x = 931.78

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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.