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Finding the Fourth Proportional to 767.20, 1,143.56 and 695.20

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Solution

The fourth proportional to 767.20, 1,143.56 and 695.20 is: 1,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.20 : 1,143.56 = 695.20 : x
  2. Step 2: Convert to fraction form
    767.20/1,143.56 = 695.20/x
  3. Step 3: Cross multiply
    767.20x = 1,143.56 × 695.20
  4. Step 4: Simplify right side
    767.20x = 795,002.91
  5. Step 5: Solve for x
    x = 795,002.91/767.20
  6. Step 6: Final answer
    x = 1,036.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.