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Finding the Fourth Proportional to 1,002.55, 1,382.19 and 766.64

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Solution

The fourth proportional to 1,002.55, 1,382.19 and 766.64 is: 1,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.55 : 1,382.19 = 766.64 : x
  2. Step 2: Convert to fraction form
    1,002.55/1,382.19 = 766.64/x
  3. Step 3: Cross multiply
    1,002.55x = 1,382.19 × 766.64
  4. Step 4: Simplify right side
    1,002.55x = 1,059,642.14
  5. Step 5: Solve for x
    x = 1,059,642.14/1,002.55
  6. Step 6: Final answer
    x = 1,056.95

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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.