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Finding the Fourth Proportional to 741.24, 1,023.35 and 475.83

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Solution

The fourth proportional to 741.24, 1,023.35 and 475.83 is: 656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.24 : 1,023.35 = 475.83 : x
  2. Step 2: Convert to fraction form
    741.24/1,023.35 = 475.83/x
  3. Step 3: Cross multiply
    741.24x = 1,023.35 × 475.83
  4. Step 4: Simplify right side
    741.24x = 486,938.25
  5. Step 5: Solve for x
    x = 486,938.25/741.24
  6. Step 6: Final answer
    x = 656.92

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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.