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Finding the Fourth Proportional to 999.16, 1,377.62 and 821.50

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Solution

The fourth proportional to 999.16, 1,377.62 and 821.50 is: 1,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.16 : 1,377.62 = 821.50 : x
  2. Step 2: Convert to fraction form
    999.16/1,377.62 = 821.50/x
  3. Step 3: Cross multiply
    999.16x = 1,377.62 × 821.50
  4. Step 4: Simplify right side
    999.16x = 1,131,710.72
  5. Step 5: Solve for x
    x = 1,131,710.72/999.16
  6. Step 6: Final answer
    x = 1,132.66

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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.