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Finding the Fourth Proportional to 1,184.26, 1,776.39 and 567.70

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Solution

The fourth proportional to 1,184.26, 1,776.39 and 567.70 is: 851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.26 : 1,776.39 = 567.70 : x
  2. Step 2: Convert to fraction form
    1,184.26/1,776.39 = 567.70/x
  3. Step 3: Cross multiply
    1,184.26x = 1,776.39 × 567.70
  4. Step 4: Simplify right side
    1,184.26x = 1,008,456.60
  5. Step 5: Solve for x
    x = 1,008,456.60/1,184.26
  6. Step 6: Final answer
    x = 851.55

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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.