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Finding the Fourth Proportional to 1,254.34, 1,731.27 and 812.35

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Solution

The fourth proportional to 1,254.34, 1,731.27 and 812.35 is: 1,121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.34 : 1,731.27 = 812.35 : x
  2. Step 2: Convert to fraction form
    1,254.34/1,731.27 = 812.35/x
  3. Step 3: Cross multiply
    1,254.34x = 1,731.27 × 812.35
  4. Step 4: Simplify right side
    1,254.34x = 1,406,397.18
  5. Step 5: Solve for x
    x = 1,406,397.18/1,254.34
  6. Step 6: Final answer
    x = 1,121.22

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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.