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Finding the Fourth Proportional to 831.54, 1,147.51 and 458.55

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Solution

The fourth proportional to 831.54, 1,147.51 and 458.55 is: 632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.54 : 1,147.51 = 458.55 : x
  2. Step 2: Convert to fraction form
    831.54/1,147.51 = 458.55/x
  3. Step 3: Cross multiply
    831.54x = 1,147.51 × 458.55
  4. Step 4: Simplify right side
    831.54x = 526,192.43
  5. Step 5: Solve for x
    x = 526,192.43/831.54
  6. Step 6: Final answer
    x = 632.79

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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.