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Finding the Fourth Proportional to 741.88, 1,021.88 and 517.42

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Solution

The fourth proportional to 741.88, 1,021.88 and 517.42 is: 712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.88 : 1,021.88 = 517.42 : x
  2. Step 2: Convert to fraction form
    741.88/1,021.88 = 517.42/x
  3. Step 3: Cross multiply
    741.88x = 1,021.88 × 517.42
  4. Step 4: Simplify right side
    741.88x = 528,743.72
  5. Step 5: Solve for x
    x = 528,743.72/741.88
  6. Step 6: Final answer
    x = 712.70

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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.