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Finding the Fourth Proportional to 1,042.29, 1,563.57 and 348.66

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Solution

The fourth proportional to 1,042.29, 1,563.57 and 348.66 is: 523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.29 : 1,563.57 = 348.66 : x
  2. Step 2: Convert to fraction form
    1,042.29/1,563.57 = 348.66/x
  3. Step 3: Cross multiply
    1,042.29x = 1,563.57 × 348.66
  4. Step 4: Simplify right side
    1,042.29x = 545,154.32
  5. Step 5: Solve for x
    x = 545,154.32/1,042.29
  6. Step 6: Final answer
    x = 523.04

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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.