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Finding the Fourth Proportional to 1,020.86, 1,531.01 and 280.29

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Solution

The fourth proportional to 1,020.86, 1,531.01 and 280.29 is: 420.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.86 : 1,531.01 = 280.29 : x
  2. Step 2: Convert to fraction form
    1,020.86/1,531.01 = 280.29/x
  3. Step 3: Cross multiply
    1,020.86x = 1,531.01 × 280.29
  4. Step 4: Simplify right side
    1,020.86x = 429,128.26
  5. Step 5: Solve for x
    x = 429,128.26/1,020.86
  6. Step 6: Final answer
    x = 420.36

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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.