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Finding the Fourth Proportional to 962.11, 1,327.71 and 564.05

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Solution

The fourth proportional to 962.11, 1,327.71 and 564.05 is: 778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.11 : 1,327.71 = 564.05 : x
  2. Step 2: Convert to fraction form
    962.11/1,327.71 = 564.05/x
  3. Step 3: Cross multiply
    962.11x = 1,327.71 × 564.05
  4. Step 4: Simplify right side
    962.11x = 748,894.83
  5. Step 5: Solve for x
    x = 748,894.83/962.11
  6. Step 6: Final answer
    x = 778.39

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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.