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Finding the Fourth Proportional to 723.16, 1,082.76 and 657.46

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Solution

The fourth proportional to 723.16, 1,082.76 and 657.46 is: 984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.16 : 1,082.76 = 657.46 : x
  2. Step 2: Convert to fraction form
    723.16/1,082.76 = 657.46/x
  3. Step 3: Cross multiply
    723.16x = 1,082.76 × 657.46
  4. Step 4: Simplify right side
    723.16x = 711,871.39
  5. Step 5: Solve for x
    x = 711,871.39/723.16
  6. Step 6: Final answer
    x = 984.39

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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.