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Finding the Fourth Proportional to 831.70, 1,247.55 and 669.70

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Solution

The fourth proportional to 831.70, 1,247.55 and 669.70 is: 1,004.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.70 : 1,247.55 = 669.70 : x
  2. Step 2: Convert to fraction form
    831.70/1,247.55 = 669.70/x
  3. Step 3: Cross multiply
    831.70x = 1,247.55 × 669.70
  4. Step 4: Simplify right side
    831.70x = 835,484.24
  5. Step 5: Solve for x
    x = 835,484.24/831.70
  6. Step 6: Final answer
    x = 1,004.55

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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.