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Finding the Fourth Proportional to 831.31, 1,147.23 and 458.32

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Solution

The fourth proportional to 831.31, 1,147.23 and 458.32 is: 632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.31 : 1,147.23 = 458.32 : x
  2. Step 2: Convert to fraction form
    831.31/1,147.23 = 458.32/x
  3. Step 3: Cross multiply
    831.31x = 1,147.23 × 458.32
  4. Step 4: Simplify right side
    831.31x = 525,798.45
  5. Step 5: Solve for x
    x = 525,798.45/831.31
  6. Step 6: Final answer
    x = 632.49

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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.