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Finding the Fourth Proportional to 695.22, 1,042.26 and 500.07

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Solution

The fourth proportional to 695.22, 1,042.26 and 500.07 is: 749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.22 : 1,042.26 = 500.07 : x
  2. Step 2: Convert to fraction form
    695.22/1,042.26 = 500.07/x
  3. Step 3: Cross multiply
    695.22x = 1,042.26 × 500.07
  4. Step 4: Simplify right side
    695.22x = 521,202.96
  5. Step 5: Solve for x
    x = 521,202.96/695.22
  6. Step 6: Final answer
    x = 749.70

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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.