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Finding the Fourth Proportional to 741.75, 1,023.75 and 447.18

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Solution

The fourth proportional to 741.75, 1,023.75 and 447.18 is: 617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.75 : 1,023.75 = 447.18 : x
  2. Step 2: Convert to fraction form
    741.75/1,023.75 = 447.18/x
  3. Step 3: Cross multiply
    741.75x = 1,023.75 × 447.18
  4. Step 4: Simplify right side
    741.75x = 457,800.53
  5. Step 5: Solve for x
    x = 457,800.53/741.75
  6. Step 6: Final answer
    x = 617.19

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1.5x scale

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.