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Finding the Fourth Proportional to 962.77, 1,327.98 and 667.66

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Solution

The fourth proportional to 962.77, 1,327.98 and 667.66 is: 920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.77 : 1,327.98 = 667.66 : x
  2. Step 2: Convert to fraction form
    962.77/1,327.98 = 667.66/x
  3. Step 3: Cross multiply
    962.77x = 1,327.98 × 667.66
  4. Step 4: Simplify right side
    962.77x = 886,639.13
  5. Step 5: Solve for x
    x = 886,639.13/962.77
  6. Step 6: Final answer
    x = 920.93

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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.