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Finding the Fourth Proportional to 741.65, 1,023.68 and 461.71

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Solution

The fourth proportional to 741.65, 1,023.68 and 461.71 is: 637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.65 : 1,023.68 = 461.71 : x
  2. Step 2: Convert to fraction form
    741.65/1,023.68 = 461.71/x
  3. Step 3: Cross multiply
    741.65x = 1,023.68 × 461.71
  4. Step 4: Simplify right side
    741.65x = 472,643.29
  5. Step 5: Solve for x
    x = 472,643.29/741.65
  6. Step 6: Final answer
    x = 637.29

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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.