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Finding the Fourth Proportional to 764.61, 1,055.12 and 469.77

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Solution

The fourth proportional to 764.61, 1,055.12 and 469.77 is: 648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.61 : 1,055.12 = 469.77 : x
  2. Step 2: Convert to fraction form
    764.61/1,055.12 = 469.77/x
  3. Step 3: Cross multiply
    764.61x = 1,055.12 × 469.77
  4. Step 4: Simplify right side
    764.61x = 495,663.72
  5. Step 5: Solve for x
    x = 495,663.72/764.61
  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.