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Finding the Fourth Proportional to 1,250.29, 1,874.42 and 520.41

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Solution

The fourth proportional to 1,250.29, 1,874.42 and 520.41 is: 780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.29 : 1,874.42 = 520.41 : x
  2. Step 2: Convert to fraction form
    1,250.29/1,874.42 = 520.41/x
  3. Step 3: Cross multiply
    1,250.29x = 1,874.42 × 520.41
  4. Step 4: Simplify right side
    1,250.29x = 975,466.91
  5. Step 5: Solve for x
    x = 975,466.91/1,250.29
  6. Step 6: Final answer
    x = 780.19

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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.