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Finding the Fourth Proportional to 864.34, 1,293.99 and 672.10

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Solution

The fourth proportional to 864.34, 1,293.99 and 672.10 is: 1,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.34 : 1,293.99 = 672.10 : x
  2. Step 2: Convert to fraction form
    864.34/1,293.99 = 672.10/x
  3. Step 3: Cross multiply
    864.34x = 1,293.99 × 672.10
  4. Step 4: Simplify right side
    864.34x = 869,690.68
  5. Step 5: Solve for x
    x = 869,690.68/864.34
  6. Step 6: Final answer
    x = 1,006.19

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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.