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Finding the Fourth Proportional to 767.66, 1,050.90 and 762.17

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Solution

The fourth proportional to 767.66, 1,050.90 and 762.17 is: 1,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.66 : 1,050.90 = 762.17 : x
  2. Step 2: Convert to fraction form
    767.66/1,050.90 = 762.17/x
  3. Step 3: Cross multiply
    767.66x = 1,050.90 × 762.17
  4. Step 4: Simplify right side
    767.66x = 800,960.64
  5. Step 5: Solve for x
    x = 800,960.64/767.66
  6. Step 6: Final answer
    x = 1,043.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.