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Finding the Fourth Proportional to 1,042.24, 1,562.55 and 522.45

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Solution

The fourth proportional to 1,042.24, 1,562.55 and 522.45 is: 783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.24 : 1,562.55 = 522.45 : x
  2. Step 2: Convert to fraction form
    1,042.24/1,562.55 = 522.45/x
  3. Step 3: Cross multiply
    1,042.24x = 1,562.55 × 522.45
  4. Step 4: Simplify right side
    1,042.24x = 816,354.25
  5. Step 5: Solve for x
    x = 816,354.25/1,042.24
  6. Step 6: Final answer
    x = 783.27

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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.