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Finding the Fourth Proportional to 1,223.72, 1,831.12 and 812.24

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Solution

The fourth proportional to 1,223.72, 1,831.12 and 812.24 is: 1,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.72 : 1,831.12 = 812.24 : x
  2. Step 2: Convert to fraction form
    1,223.72/1,831.12 = 812.24/x
  3. Step 3: Cross multiply
    1,223.72x = 1,831.12 × 812.24
  4. Step 4: Simplify right side
    1,223.72x = 1,487,308.91
  5. Step 5: Solve for x
    x = 1,487,308.91/1,223.72
  6. Step 6: Final answer
    x = 1,215.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.