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Finding the Fourth Proportional to 831.61, 1,247.00 and 466.30

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Solution

The fourth proportional to 831.61, 1,247.00 and 466.30 is: 699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.61 : 1,247.00 = 466.30 : x
  2. Step 2: Convert to fraction form
    831.61/1,247.00 = 466.30/x
  3. Step 3: Cross multiply
    831.61x = 1,247.00 × 466.30
  4. Step 4: Simplify right side
    831.61x = 581,470.65
  5. Step 5: Solve for x
    x = 581,470.65/831.61
  6. Step 6: Final answer
    x = 699.21

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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.