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Finding the Fourth Proportional to 1,002.90, 1,384.11 and 767.46

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Solution

The fourth proportional to 1,002.90, 1,384.11 and 767.46 is: 1,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.90 : 1,384.11 = 767.46 : x
  2. Step 2: Convert to fraction form
    1,002.90/1,384.11 = 767.46/x
  3. Step 3: Cross multiply
    1,002.90x = 1,384.11 × 767.46
  4. Step 4: Simplify right side
    1,002.90x = 1,062,249.06
  5. Step 5: Solve for x
    x = 1,062,249.06/1,002.90
  6. Step 6: Final answer
    x = 1,059.18

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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.