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Finding the Fourth Proportional to 741.18, 1,023.29 and 514.47

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Solution

The fourth proportional to 741.18, 1,023.29 and 514.47 is: 710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.18 : 1,023.29 = 514.47 : x
  2. Step 2: Convert to fraction form
    741.18/1,023.29 = 514.47/x
  3. Step 3: Cross multiply
    741.18x = 1,023.29 × 514.47
  4. Step 4: Simplify right side
    741.18x = 526,452.01
  5. Step 5: Solve for x
    x = 526,452.01/741.18
  6. Step 6: Final answer
    x = 710.29

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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.