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Finding the Fourth Proportional to 831.58, 1,247.54 and 283.75

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Solution

The fourth proportional to 831.58, 1,247.54 and 283.75 is: 425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.58 : 1,247.54 = 283.75 : x
  2. Step 2: Convert to fraction form
    831.58/1,247.54 = 283.75/x
  3. Step 3: Cross multiply
    831.58x = 1,247.54 × 283.75
  4. Step 4: Simplify right side
    831.58x = 353,989.48
  5. Step 5: Solve for x
    x = 353,989.48/831.58
  6. Step 6: Final answer
    x = 425.68

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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.