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Finding the Fourth Proportional to 999.76, 1,377.93 and 667.66

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Solution

The fourth proportional to 999.76, 1,377.93 and 667.66 is: 920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.76 : 1,377.93 = 667.66 : x
  2. Step 2: Convert to fraction form
    999.76/1,377.93 = 667.66/x
  3. Step 3: Cross multiply
    999.76x = 1,377.93 × 667.66
  4. Step 4: Simplify right side
    999.76x = 919,988.74
  5. Step 5: Solve for x
    x = 919,988.74/999.76
  6. Step 6: Final answer
    x = 920.21

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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.