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Finding the Fourth Proportional to 1,201.68, 1,657.14 and 729.65

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Solution

The fourth proportional to 1,201.68, 1,657.14 and 729.65 is: 1,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.68 : 1,657.14 = 729.65 : x
  2. Step 2: Convert to fraction form
    1,201.68/1,657.14 = 729.65/x
  3. Step 3: Cross multiply
    1,201.68x = 1,657.14 × 729.65
  4. Step 4: Simplify right side
    1,201.68x = 1,209,123.92
  5. Step 5: Solve for x
    x = 1,209,123.92/1,201.68
  6. Step 6: Final answer
    x = 1,006.19

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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.