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Finding the Fourth Proportional to 723.20, 1,076.49 and 703.76

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Solution

The fourth proportional to 723.20, 1,076.49 and 703.76 is: 1,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.20 : 1,076.49 = 703.76 : x
  2. Step 2: Convert to fraction form
    723.20/1,076.49 = 703.76/x
  3. Step 3: Cross multiply
    723.20x = 1,076.49 × 703.76
  4. Step 4: Simplify right side
    723.20x = 757,585.22
  5. Step 5: Solve for x
    x = 757,585.22/723.20
  6. Step 6: Final answer
    x = 1,047.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.