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Finding the Fourth Proportional to 693.47, 1,040.42 and 282.53

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Solution

The fourth proportional to 693.47, 1,040.42 and 282.53 is: 423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.47 : 1,040.42 = 282.53 : x
  2. Step 2: Convert to fraction form
    693.47/1,040.42 = 282.53/x
  3. Step 3: Cross multiply
    693.47x = 1,040.42 × 282.53
  4. Step 4: Simplify right side
    693.47x = 293,949.86
  5. Step 5: Solve for x
    x = 293,949.86/693.47
  6. Step 6: Final answer
    x = 423.88

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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.