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Finding the Fourth Proportional to 1,020.80, 1,531.26 and 404.42

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Solution

The fourth proportional to 1,020.80, 1,531.26 and 404.42 is: 606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.80 : 1,531.26 = 404.42 : x
  2. Step 2: Convert to fraction form
    1,020.80/1,531.26 = 404.42/x
  3. Step 3: Cross multiply
    1,020.80x = 1,531.26 × 404.42
  4. Step 4: Simplify right side
    1,020.80x = 619,272.17
  5. Step 5: Solve for x
    x = 619,272.17/1,020.80
  6. Step 6: Final answer
    x = 606.65

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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.