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Finding the Fourth Proportional to 758.10, 1,138.52 and 723.48

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Solution

The fourth proportional to 758.10, 1,138.52 and 723.48 is: 1,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.10 : 1,138.52 = 723.48 : x
  2. Step 2: Convert to fraction form
    758.10/1,138.52 = 723.48/x
  3. Step 3: Cross multiply
    758.10x = 1,138.52 × 723.48
  4. Step 4: Simplify right side
    758.10x = 823,693.99
  5. Step 5: Solve for x
    x = 823,693.99/758.10
  6. Step 6: Final answer
    x = 1,086.52

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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.