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Finding the Fourth Proportional to 831.47, 1,247.24 and 465.98

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Solution

The fourth proportional to 831.47, 1,247.24 and 465.98 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.47 : 1,247.24 = 465.98 : x
  2. Step 2: Convert to fraction form
    831.47/1,247.24 = 465.98/x
  3. Step 3: Cross multiply
    831.47x = 1,247.24 × 465.98
  4. Step 4: Simplify right side
    831.47x = 581,180.33
  5. Step 5: Solve for x
    x = 581,180.33/831.47
  6. Step 6: Final answer
    x = 698.98

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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.