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Finding the Fourth Proportional to 691.55, 1,037.49 and 345.05

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Solution

The fourth proportional to 691.55, 1,037.49 and 345.05 is: 517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.55 : 1,037.49 = 345.05 : x
  2. Step 2: Convert to fraction form
    691.55/1,037.49 = 345.05/x
  3. Step 3: Cross multiply
    691.55x = 1,037.49 × 345.05
  4. Step 4: Simplify right side
    691.55x = 357,985.27
  5. Step 5: Solve for x
    x = 357,985.27/691.55
  6. Step 6: Final answer
    x = 517.66

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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.