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Finding the Fourth Proportional to 1,042.24, 1,563.90 and 555.16

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Solution

The fourth proportional to 1,042.24, 1,563.90 and 555.16 is: 833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.24 : 1,563.90 = 555.16 : x
  2. Step 2: Convert to fraction form
    1,042.24/1,563.90 = 555.16/x
  3. Step 3: Cross multiply
    1,042.24x = 1,563.90 × 555.16
  4. Step 4: Simplify right side
    1,042.24x = 868,214.72
  5. Step 5: Solve for x
    x = 868,214.72/1,042.24
  6. Step 6: Final answer
    x = 833.03

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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.