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Finding the Fourth Proportional to 1,500.17, 2,248.89 and 525.74

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Solution

The fourth proportional to 1,500.17, 2,248.89 and 525.74 is: 788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.17 : 2,248.89 = 525.74 : x
  2. Step 2: Convert to fraction form
    1,500.17/2,248.89 = 525.74/x
  3. Step 3: Cross multiply
    1,500.17x = 2,248.89 × 525.74
  4. Step 4: Simplify right side
    1,500.17x = 1,182,318.21
  5. Step 5: Solve for x
    x = 1,182,318.21/1,500.17
  6. Step 6: Final answer
    x = 788.13

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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.