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Finding the Fourth Proportional to 831.54, 1,245.52 and 392.13

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Solution

The fourth proportional to 831.54, 1,245.52 and 392.13 is: 587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.54 : 1,245.52 = 392.13 : x
  2. Step 2: Convert to fraction form
    831.54/1,245.52 = 392.13/x
  3. Step 3: Cross multiply
    831.54x = 1,245.52 × 392.13
  4. Step 4: Simplify right side
    831.54x = 488,407.31
  5. Step 5: Solve for x
    x = 488,407.31/831.54
  6. Step 6: Final answer
    x = 587.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.