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Finding the Fourth Proportional to 672.98, 1,009.42 and 325.24

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Solution

The fourth proportional to 672.98, 1,009.42 and 325.24 is: 487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.98 : 1,009.42 = 325.24 : x
  2. Step 2: Convert to fraction form
    672.98/1,009.42 = 325.24/x
  3. Step 3: Cross multiply
    672.98x = 1,009.42 × 325.24
  4. Step 4: Simplify right side
    672.98x = 328,300.42
  5. Step 5: Solve for x
    x = 328,300.42/672.98
  6. Step 6: Final answer
    x = 487.83

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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.