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Finding the Fourth Proportional to 695.96, 1,042.04 and 501.15

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Solution

The fourth proportional to 695.96, 1,042.04 and 501.15 is: 750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.96 : 1,042.04 = 501.15 : x
  2. Step 2: Convert to fraction form
    695.96/1,042.04 = 501.15/x
  3. Step 3: Cross multiply
    695.96x = 1,042.04 × 501.15
  4. Step 4: Simplify right side
    695.96x = 522,215.84
  5. Step 5: Solve for x
    x = 522,215.84/695.96
  6. Step 6: Final answer
    x = 750.36

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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.