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Finding the Fourth Proportional to 991.56, 1,479.12 and 827.40

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Solution

The fourth proportional to 991.56, 1,479.12 and 827.40 is: 1,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.56 : 1,479.12 = 827.40 : x
  2. Step 2: Convert to fraction form
    991.56/1,479.12 = 827.40/x
  3. Step 3: Cross multiply
    991.56x = 1,479.12 × 827.40
  4. Step 4: Simplify right side
    991.56x = 1,223,823.89
  5. Step 5: Solve for x
    x = 1,223,823.89/991.56
  6. Step 6: Final answer
    x = 1,234.24

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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.