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Finding the Fourth Proportional to 831.74, 1,248.08 and 284.04

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Solution

The fourth proportional to 831.74, 1,248.08 and 284.04 is: 426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.74 : 1,248.08 = 284.04 : x
  2. Step 2: Convert to fraction form
    831.74/1,248.08 = 284.04/x
  3. Step 3: Cross multiply
    831.74x = 1,248.08 × 284.04
  4. Step 4: Simplify right side
    831.74x = 354,503.22
  5. Step 5: Solve for x
    x = 354,503.22/831.74
  6. Step 6: Final answer
    x = 426.22

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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.