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Finding the Fourth Proportional to 1,502.28, 2,252.82 and 624.19

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Solution

The fourth proportional to 1,502.28, 2,252.82 and 624.19 is: 936.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.28 : 2,252.82 = 624.19 : x
  2. Step 2: Convert to fraction form
    1,502.28/2,252.82 = 624.19/x
  3. Step 3: Cross multiply
    1,502.28x = 2,252.82 × 624.19
  4. Step 4: Simplify right side
    1,502.28x = 1,406,178.96
  5. Step 5: Solve for x
    x = 1,406,178.96/1,502.28
  6. Step 6: Final answer
    x = 936.03

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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.