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Finding the Fourth Proportional to 1,372.18, 2,058.54 and 723.10

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Solution

The fourth proportional to 1,372.18, 2,058.54 and 723.10 is: 1,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.18 : 2,058.54 = 723.10 : x
  2. Step 2: Convert to fraction form
    1,372.18/2,058.54 = 723.10/x
  3. Step 3: Cross multiply
    1,372.18x = 2,058.54 × 723.10
  4. Step 4: Simplify right side
    1,372.18x = 1,488,530.27
  5. Step 5: Solve for x
    x = 1,488,530.27/1,372.18
  6. Step 6: Final answer
    x = 1,084.79

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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.