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Finding the Fourth Proportional to 831.60, 1,147.61 and 458.59

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Solution

The fourth proportional to 831.60, 1,147.61 and 458.59 is: 632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.60 : 1,147.61 = 458.59 : x
  2. Step 2: Convert to fraction form
    831.60/1,147.61 = 458.59/x
  3. Step 3: Cross multiply
    831.60x = 1,147.61 × 458.59
  4. Step 4: Simplify right side
    831.60x = 526,282.47
  5. Step 5: Solve for x
    x = 526,282.47/831.60
  6. Step 6: Final answer
    x = 632.86

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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.