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Finding the Fourth Proportional to 1,254.24, 1,731.18 and 812.16

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Solution

The fourth proportional to 1,254.24, 1,731.18 and 812.16 is: 1,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.24 : 1,731.18 = 812.16 : x
  2. Step 2: Convert to fraction form
    1,254.24/1,731.18 = 812.16/x
  3. Step 3: Cross multiply
    1,254.24x = 1,731.18 × 812.16
  4. Step 4: Simplify right side
    1,254.24x = 1,405,995.15
  5. Step 5: Solve for x
    x = 1,405,995.15/1,254.24
  6. Step 6: Final answer
    x = 1,120.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.