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Finding the Fourth Proportional to 831.96, 1,148.13 and 458.91

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Solution

The fourth proportional to 831.96, 1,148.13 and 458.91 is: 633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.96 : 1,148.13 = 458.91 : x
  2. Step 2: Convert to fraction form
    831.96/1,148.13 = 458.91/x
  3. Step 3: Cross multiply
    831.96x = 1,148.13 × 458.91
  4. Step 4: Simplify right side
    831.96x = 526,888.34
  5. Step 5: Solve for x
    x = 526,888.34/831.96
  6. Step 6: Final answer
    x = 633.31

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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.