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Finding the Fourth Proportional to 831.90, 1,245.15 and 648.30

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Solution

The fourth proportional to 831.90, 1,245.15 and 648.30 is: 970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.90 : 1,245.15 = 648.30 : x
  2. Step 2: Convert to fraction form
    831.90/1,245.15 = 648.30/x
  3. Step 3: Cross multiply
    831.90x = 1,245.15 × 648.30
  4. Step 4: Simplify right side
    831.90x = 807,230.75
  5. Step 5: Solve for x
    x = 807,230.75/831.90
  6. Step 6: Final answer
    x = 970.35

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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.