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Finding the Fourth Proportional to 986.96, 1,480.80 and 576.02

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Solution

The fourth proportional to 986.96, 1,480.80 and 576.02 is: 864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.96 : 1,480.80 = 576.02 : x
  2. Step 2: Convert to fraction form
    986.96/1,480.80 = 576.02/x
  3. Step 3: Cross multiply
    986.96x = 1,480.80 × 576.02
  4. Step 4: Simplify right side
    986.96x = 852,970.42
  5. Step 5: Solve for x
    x = 852,970.42/986.96
  6. Step 6: Final answer
    x = 864.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.