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Finding the Fourth Proportional to 741.20, 1,023.38 and 476.32

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Solution

The fourth proportional to 741.20, 1,023.38 and 476.32 is: 657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.20 : 1,023.38 = 476.32 : x
  2. Step 2: Convert to fraction form
    741.20/1,023.38 = 476.32/x
  3. Step 3: Cross multiply
    741.20x = 1,023.38 × 476.32
  4. Step 4: Simplify right side
    741.20x = 487,451.42
  5. Step 5: Solve for x
    x = 487,451.42/741.20
  6. Step 6: Final answer
    x = 657.65

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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.