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Finding the Fourth Proportional to 672.13, 1,005.06 and 599.43

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Solution

The fourth proportional to 672.13, 1,005.06 and 599.43 is: 896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.13 : 1,005.06 = 599.43 : x
  2. Step 2: Convert to fraction form
    672.13/1,005.06 = 599.43/x
  3. Step 3: Cross multiply
    672.13x = 1,005.06 × 599.43
  4. Step 4: Simplify right side
    672.13x = 602,463.12
  5. Step 5: Solve for x
    x = 602,463.12/672.13
  6. Step 6: Final answer
    x = 896.35

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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.