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Finding the Fourth Proportional to 1,271.34, 1,753.20 and 921.42

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Solution

The fourth proportional to 1,271.34, 1,753.20 and 921.42 is: 1,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.34 : 1,753.20 = 921.42 : x
  2. Step 2: Convert to fraction form
    1,271.34/1,753.20 = 921.42/x
  3. Step 3: Cross multiply
    1,271.34x = 1,753.20 × 921.42
  4. Step 4: Simplify right side
    1,271.34x = 1,615,433.54
  5. Step 5: Solve for x
    x = 1,615,433.54/1,271.34
  6. Step 6: Final answer
    x = 1,270.65

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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.