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Finding the Fourth Proportional to 831.80, 1,147.88 and 458.78

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Solution

The fourth proportional to 831.80, 1,147.88 and 458.78 is: 633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.80 : 1,147.88 = 458.78 : x
  2. Step 2: Convert to fraction form
    831.80/1,147.88 = 458.78/x
  3. Step 3: Cross multiply
    831.80x = 1,147.88 × 458.78
  4. Step 4: Simplify right side
    831.80x = 526,619.79
  5. Step 5: Solve for x
    x = 526,619.79/831.80
  6. Step 6: Final answer
    x = 633.11

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1.5x scale

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.