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Finding the Fourth Proportional to 695.20, 1,042.02 and 348.10

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Solution

The fourth proportional to 695.20, 1,042.02 and 348.10 is: 521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.20 : 1,042.02 = 348.10 : x
  2. Step 2: Convert to fraction form
    695.20/1,042.02 = 348.10/x
  3. Step 3: Cross multiply
    695.20x = 1,042.02 × 348.10
  4. Step 4: Simplify right side
    695.20x = 362,727.16
  5. Step 5: Solve for x
    x = 362,727.16/695.20
  6. Step 6: Final answer
    x = 521.76

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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.