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Finding the Fourth Proportional to 764.66, 1,054.89 and 469.82

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Solution

The fourth proportional to 764.66, 1,054.89 and 469.82 is: 648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.66 : 1,054.89 = 469.82 : x
  2. Step 2: Convert to fraction form
    764.66/1,054.89 = 469.82/x
  3. Step 3: Cross multiply
    764.66x = 1,054.89 × 469.82
  4. Step 4: Simplify right side
    764.66x = 495,611.06
  5. Step 5: Solve for x
    x = 495,611.06/764.66
  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.