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Finding the Fourth Proportional to 962.14, 1,327.97 and 776.86

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Solution

The fourth proportional to 962.14, 1,327.97 and 776.86 is: 1,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.14 : 1,327.97 = 776.86 : x
  2. Step 2: Convert to fraction form
    962.14/1,327.97 = 776.86/x
  3. Step 3: Cross multiply
    962.14x = 1,327.97 × 776.86
  4. Step 4: Simplify right side
    962.14x = 1,031,646.77
  5. Step 5: Solve for x
    x = 1,031,646.77/962.14
  6. Step 6: Final answer
    x = 1,072.24

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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.