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Finding the Fourth Proportional to 862.70, 1,189.89 and 567.86

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Solution

The fourth proportional to 862.70, 1,189.89 and 567.86 is: 783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.70 : 1,189.89 = 567.86 : x
  2. Step 2: Convert to fraction form
    862.70/1,189.89 = 567.86/x
  3. Step 3: Cross multiply
    862.70x = 1,189.89 × 567.86
  4. Step 4: Simplify right side
    862.70x = 675,684.99
  5. Step 5: Solve for x
    x = 675,684.99/862.70
  6. Step 6: Final answer
    x = 783.23

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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.