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Finding the Fourth Proportional to 764.60, 1,055.14 and 469.76

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Solution

The fourth proportional to 764.60, 1,055.14 and 469.76 is: 648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.60 : 1,055.14 = 469.76 : x
  2. Step 2: Convert to fraction form
    764.60/1,055.14 = 469.76/x
  3. Step 3: Cross multiply
    764.60x = 1,055.14 × 469.76
  4. Step 4: Simplify right side
    764.60x = 495,662.57
  5. Step 5: Solve for x
    x = 495,662.57/764.60
  6. Step 6: Final answer
    x = 648.26

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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.