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Finding the Fourth Proportional to 861.50, 1,189.24 and 582.12

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Solution

The fourth proportional to 861.50, 1,189.24 and 582.12 is: 803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.50 : 1,189.24 = 582.12 : x
  2. Step 2: Convert to fraction form
    861.50/1,189.24 = 582.12/x
  3. Step 3: Cross multiply
    861.50x = 1,189.24 × 582.12
  4. Step 4: Simplify right side
    861.50x = 692,280.39
  5. Step 5: Solve for x
    x = 692,280.39/861.50
  6. Step 6: Final answer
    x = 803.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.