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Finding the Fourth Proportional to 1,125.23, 1,687.10 and 466.92

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Solution

The fourth proportional to 1,125.23, 1,687.10 and 466.92 is: 700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.23 : 1,687.10 = 466.92 : x
  2. Step 2: Convert to fraction form
    1,125.23/1,687.10 = 466.92/x
  3. Step 3: Cross multiply
    1,125.23x = 1,687.10 × 466.92
  4. Step 4: Simplify right side
    1,125.23x = 787,740.73
  5. Step 5: Solve for x
    x = 787,740.73/1,125.23
  6. Step 6: Final answer
    x = 700.07

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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.