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Finding the Fourth Proportional to 831.84, 1,248 and 284.08

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Solution

The fourth proportional to 831.84, 1,248 and 284.08 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.84 : 1,248 = 284.08 : x
  2. Step 2: Convert to fraction form
    831.84/1,248 = 284.08/x
  3. Step 3: Cross multiply
    831.84x = 1,248 × 284.08
  4. Step 4: Simplify right side
    831.84x = 354,531.84
  5. Step 5: Solve for x
    x = 354,531.84/831.84
  6. Step 6: Final answer
    x = 426.20

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