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Finding the Fourth Proportional to 1,135.82, 1,702.71 and 550.46

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Solution

The fourth proportional to 1,135.82, 1,702.71 and 550.46 is: 825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.82 : 1,702.71 = 550.46 : x
  2. Step 2: Convert to fraction form
    1,135.82/1,702.71 = 550.46/x
  3. Step 3: Cross multiply
    1,135.82x = 1,702.71 × 550.46
  4. Step 4: Simplify right side
    1,135.82x = 937,273.75
  5. Step 5: Solve for x
    x = 937,273.75/1,135.82
  6. Step 6: Final answer
    x = 825.20

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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.