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Finding the Fourth Proportional to 1,042.90, 1,564.96 and 385.24

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Solution

The fourth proportional to 1,042.90, 1,564.96 and 385.24 is: 578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.90 : 1,564.96 = 385.24 : x
  2. Step 2: Convert to fraction form
    1,042.90/1,564.96 = 385.24/x
  3. Step 3: Cross multiply
    1,042.90x = 1,564.96 × 385.24
  4. Step 4: Simplify right side
    1,042.90x = 602,885.19
  5. Step 5: Solve for x
    x = 602,885.19/1,042.90
  6. Step 6: Final answer
    x = 578.09

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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.