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Finding the Fourth Proportional to 1,111.38, 1,665.72 and 624.30

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Solution

The fourth proportional to 1,111.38, 1,665.72 and 624.30 is: 935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.38 : 1,665.72 = 624.30 : x
  2. Step 2: Convert to fraction form
    1,111.38/1,665.72 = 624.30/x
  3. Step 3: Cross multiply
    1,111.38x = 1,665.72 × 624.30
  4. Step 4: Simplify right side
    1,111.38x = 1,039,909.00
  5. Step 5: Solve for x
    x = 1,039,909.00/1,111.38
  6. Step 6: Final answer
    x = 935.69

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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.