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Finding the Fourth Proportional to 831.06, 1,245.91 and 483.53

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Solution

The fourth proportional to 831.06, 1,245.91 and 483.53 is: 724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.06 : 1,245.91 = 483.53 : x
  2. Step 2: Convert to fraction form
    831.06/1,245.91 = 483.53/x
  3. Step 3: Cross multiply
    831.06x = 1,245.91 × 483.53
  4. Step 4: Simplify right side
    831.06x = 602,435.73
  5. Step 5: Solve for x
    x = 602,435.73/831.06
  6. Step 6: Final answer
    x = 724.90

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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.