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Finding the Fourth Proportional to 1,042.12, 1,563.24 and 348.76

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Solution

The fourth proportional to 1,042.12, 1,563.24 and 348.76 is: 523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.12 : 1,563.24 = 348.76 : x
  2. Step 2: Convert to fraction form
    1,042.12/1,563.24 = 348.76/x
  3. Step 3: Cross multiply
    1,042.12x = 1,563.24 × 348.76
  4. Step 4: Simplify right side
    1,042.12x = 545,187.77
  5. Step 5: Solve for x
    x = 545,187.77/1,042.12
  6. Step 6: Final answer
    x = 523.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.