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Finding the Fourth Proportional to 672.10, 1,005.99 and 347.02

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Solution

The fourth proportional to 672.10, 1,005.99 and 347.02 is: 519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.10 : 1,005.99 = 347.02 : x
  2. Step 2: Convert to fraction form
    672.10/1,005.99 = 347.02/x
  3. Step 3: Cross multiply
    672.10x = 1,005.99 × 347.02
  4. Step 4: Simplify right side
    672.10x = 349,098.65
  5. Step 5: Solve for x
    x = 349,098.65/672.10
  6. Step 6: Final answer
    x = 519.41

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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.