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Finding the Fourth Proportional to 733.68, 1,101.60 and 686.16

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Solution

The fourth proportional to 733.68, 1,101.60 and 686.16 is: 1,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.68 : 1,101.60 = 686.16 : x
  2. Step 2: Convert to fraction form
    733.68/1,101.60 = 686.16/x
  3. Step 3: Cross multiply
    733.68x = 1,101.60 × 686.16
  4. Step 4: Simplify right side
    733.68x = 755,873.86
  5. Step 5: Solve for x
    x = 755,873.86/733.68
  6. Step 6: Final answer
    x = 1,030.25

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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.