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Finding the Fourth Proportional to 695.98, 1,044.26 and 501.53

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Solution

The fourth proportional to 695.98, 1,044.26 and 501.53 is: 752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.98 : 1,044.26 = 501.53 : x
  2. Step 2: Convert to fraction form
    695.98/1,044.26 = 501.53/x
  3. Step 3: Cross multiply
    695.98x = 1,044.26 × 501.53
  4. Step 4: Simplify right side
    695.98x = 523,727.72
  5. Step 5: Solve for x
    x = 523,727.72/695.98
  6. Step 6: Final answer
    x = 752.50

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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.