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Finding the Fourth Proportional to 741.84, 1,023.74 and 410.27

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Solution

The fourth proportional to 741.84, 1,023.74 and 410.27 is: 566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.84 : 1,023.74 = 410.27 : x
  2. Step 2: Convert to fraction form
    741.84/1,023.74 = 410.27/x
  3. Step 3: Cross multiply
    741.84x = 1,023.74 × 410.27
  4. Step 4: Simplify right side
    741.84x = 420,008.78
  5. Step 5: Solve for x
    x = 420,008.78/741.84
  6. Step 6: Final answer
    x = 566.18

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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.