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Finding the Fourth Proportional to 831.93, 1,148.24 and 477.91

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Solution

The fourth proportional to 831.93, 1,148.24 and 477.91 is: 659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.93 : 1,148.24 = 477.91 : x
  2. Step 2: Convert to fraction form
    831.93/1,148.24 = 477.91/x
  3. Step 3: Cross multiply
    831.93x = 1,148.24 × 477.91
  4. Step 4: Simplify right side
    831.93x = 548,750.12
  5. Step 5: Solve for x
    x = 548,750.12/831.93
  6. Step 6: Final answer
    x = 659.61

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