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Finding the Fourth Proportional to 741.30, 1,023 and 575.74

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Solution

The fourth proportional to 741.30, 1,023 and 575.74 is: 794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.30 : 1,023 = 575.74 : x
  2. Step 2: Convert to fraction form
    741.30/1,023 = 575.74/x
  3. Step 3: Cross multiply
    741.30x = 1,023 × 575.74
  4. Step 4: Simplify right side
    741.30x = 588,982.02
  5. Step 5: Solve for x
    x = 588,982.02/741.30
  6. Step 6: Final answer
    x = 794.53

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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.