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Finding the Fourth Proportional to 962, 1,327.08 and 700.40

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Solution

The fourth proportional to 962, 1,327.08 and 700.40 is: 966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    962 : 1,327.08 = 700.40 : x
  2. Step 2: Convert to fraction form
    962/1,327.08 = 700.40/x
  3. Step 3: Cross multiply
    962x = 1,327.08 × 700.40
  4. Step 4: Simplify right side
    962x = 929,486.83
  5. Step 5: Solve for x
    x = 929,486.83/962
  6. Step 6: Final answer
    x = 966.20

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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.