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Finding the Fourth Proportional to 781.10, 1,077.66 and 466.40

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Solution

The fourth proportional to 781.10, 1,077.66 and 466.40 is: 643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.10 : 1,077.66 = 466.40 : x
  2. Step 2: Convert to fraction form
    781.10/1,077.66 = 466.40/x
  3. Step 3: Cross multiply
    781.10x = 1,077.66 × 466.40
  4. Step 4: Simplify right side
    781.10x = 502,620.62
  5. Step 5: Solve for x
    x = 502,620.62/781.10
  6. Step 6: Final answer
    x = 643.48

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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.