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Finding the Fourth Proportional to 861.95, 1,189.68 and 567.25

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Solution

The fourth proportional to 861.95, 1,189.68 and 567.25 is: 782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.95 : 1,189.68 = 567.25 : x
  2. Step 2: Convert to fraction form
    861.95/1,189.68 = 567.25/x
  3. Step 3: Cross multiply
    861.95x = 1,189.68 × 567.25
  4. Step 4: Simplify right side
    861.95x = 674,840.03
  5. Step 5: Solve for x
    x = 674,840.03/861.95
  6. Step 6: Final answer
    x = 782.92

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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.