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Finding the Fourth Proportional to 831.74, 1,147.70 and 500.23

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Solution

The fourth proportional to 831.74, 1,147.70 and 500.23 is: 690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.74 : 1,147.70 = 500.23 : x
  2. Step 2: Convert to fraction form
    831.74/1,147.70 = 500.23/x
  3. Step 3: Cross multiply
    831.74x = 1,147.70 × 500.23
  4. Step 4: Simplify right side
    831.74x = 574,105.73
  5. Step 5: Solve for x
    x = 574,105.73/831.74
  6. Step 6: Final answer
    x = 690.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.