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Finding the Fourth Proportional to 986.72, 1,479.30 and 466.93

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Solution

The fourth proportional to 986.72, 1,479.30 and 466.93 is: 700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.72 : 1,479.30 = 466.93 : x
  2. Step 2: Convert to fraction form
    986.72/1,479.30 = 466.93/x
  3. Step 3: Cross multiply
    986.72x = 1,479.30 × 466.93
  4. Step 4: Simplify right side
    986.72x = 690,729.65
  5. Step 5: Solve for x
    x = 690,729.65/986.72
  6. Step 6: Final answer
    x = 700.03

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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.