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Finding the Fourth Proportional to 741.40, 1,023.08 and 409.82

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Solution

The fourth proportional to 741.40, 1,023.08 and 409.82 is: 565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.40 : 1,023.08 = 409.82 : x
  2. Step 2: Convert to fraction form
    741.40/1,023.08 = 409.82/x
  3. Step 3: Cross multiply
    741.40x = 1,023.08 × 409.82
  4. Step 4: Simplify right side
    741.40x = 419,280.69
  5. Step 5: Solve for x
    x = 419,280.69/741.40
  6. Step 6: Final answer
    x = 565.52

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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.