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Finding the Fourth Proportional to 691.28, 1,037.25 and 344.64

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Solution

The fourth proportional to 691.28, 1,037.25 and 344.64 is: 517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.28 : 1,037.25 = 344.64 : x
  2. Step 2: Convert to fraction form
    691.28/1,037.25 = 344.64/x
  3. Step 3: Cross multiply
    691.28x = 1,037.25 × 344.64
  4. Step 4: Simplify right side
    691.28x = 357,477.84
  5. Step 5: Solve for x
    x = 357,477.84/691.28
  6. Step 6: Final answer
    x = 517.12

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