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Finding the Fourth Proportional to 831.96, 1,247.64 and 284.00

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Solution

The fourth proportional to 831.96, 1,247.64 and 284.00 is: 425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.96 : 1,247.64 = 284.00 : x
  2. Step 2: Convert to fraction form
    831.96/1,247.64 = 284.00/x
  3. Step 3: Cross multiply
    831.96x = 1,247.64 × 284.00
  4. Step 4: Simplify right side
    831.96x = 354,322.46
  5. Step 5: Solve for x
    x = 354,322.46/831.96
  6. Step 6: Final answer
    x = 425.89

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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.