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Finding the Fourth Proportional to 861.84, 1,293.08 and 400.05

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Solution

The fourth proportional to 861.84, 1,293.08 and 400.05 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.84 : 1,293.08 = 400.05 : x
  2. Step 2: Convert to fraction form
    861.84/1,293.08 = 400.05/x
  3. Step 3: Cross multiply
    861.84x = 1,293.08 × 400.05
  4. Step 4: Simplify right side
    861.84x = 517,294.65
  5. Step 5: Solve for x
    x = 517,294.65/861.84
  6. Step 6: Final answer
    x = 600.22

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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.