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Finding the Fourth Proportional to 781.24, 1,077.81 and 466.54

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Solution

The fourth proportional to 781.24, 1,077.81 and 466.54 is: 643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.24 : 1,077.81 = 466.54 : x
  2. Step 2: Convert to fraction form
    781.24/1,077.81 = 466.54/x
  3. Step 3: Cross multiply
    781.24x = 1,077.81 × 466.54
  4. Step 4: Simplify right side
    781.24x = 502,841.48
  5. Step 5: Solve for x
    x = 502,841.48/781.24
  6. Step 6: Final answer
    x = 643.65

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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.