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Finding the Fourth Proportional to 741.53, 1,023.38 and 410.02

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Solution

The fourth proportional to 741.53, 1,023.38 and 410.02 is: 565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.53 : 1,023.38 = 410.02 : x
  2. Step 2: Convert to fraction form
    741.53/1,023.38 = 410.02/x
  3. Step 3: Cross multiply
    741.53x = 1,023.38 × 410.02
  4. Step 4: Simplify right side
    741.53x = 419,608.95
  5. Step 5: Solve for x
    x = 419,608.95/741.53
  6. Step 6: Final answer
    x = 565.87

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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.