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Finding the Fourth Proportional to 741.89, 1,023.14 and 476.03

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Solution

The fourth proportional to 741.89, 1,023.14 and 476.03 is: 656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.89 : 1,023.14 = 476.03 : x
  2. Step 2: Convert to fraction form
    741.89/1,023.14 = 476.03/x
  3. Step 3: Cross multiply
    741.89x = 1,023.14 × 476.03
  4. Step 4: Simplify right side
    741.89x = 487,039.03
  5. Step 5: Solve for x
    x = 487,039.03/741.89
  6. Step 6: Final answer
    x = 656.48

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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.