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Finding the Fourth Proportional to 831.86, 1,147.94 and 458.82

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Solution

The fourth proportional to 831.86, 1,147.94 and 458.82 is: 633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.86 : 1,147.94 = 458.82 : x
  2. Step 2: Convert to fraction form
    831.86/1,147.94 = 458.82/x
  3. Step 3: Cross multiply
    831.86x = 1,147.94 × 458.82
  4. Step 4: Simplify right side
    831.86x = 526,697.83
  5. Step 5: Solve for x
    x = 526,697.83/831.86
  6. Step 6: Final answer
    x = 633.16

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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.