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Finding the Fourth Proportional to 764.20, 1,054.66 and 469.64

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Solution

The fourth proportional to 764.20, 1,054.66 and 469.64 is: 648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.20 : 1,054.66 = 469.64 : x
  2. Step 2: Convert to fraction form
    764.20/1,054.66 = 469.64/x
  3. Step 3: Cross multiply
    764.20x = 1,054.66 × 469.64
  4. Step 4: Simplify right side
    764.20x = 495,310.52
  5. Step 5: Solve for x
    x = 495,310.52/764.20
  6. Step 6: Final answer
    x = 648.14

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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.