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Finding the Fourth Proportional to 1,020.63, 1,531.67 and 404.47

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Solution

The fourth proportional to 1,020.63, 1,531.67 and 404.47 is: 606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.63 : 1,531.67 = 404.47 : x
  2. Step 2: Convert to fraction form
    1,020.63/1,531.67 = 404.47/x
  3. Step 3: Cross multiply
    1,020.63x = 1,531.67 × 404.47
  4. Step 4: Simplify right side
    1,020.63x = 619,509.29
  5. Step 5: Solve for x
    x = 619,509.29/1,020.63
  6. Step 6: Final answer
    x = 606.99

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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.