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Finding the Fourth Proportional to 1,226.50, 1,692.56 and 702.52

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Solution

The fourth proportional to 1,226.50, 1,692.56 and 702.52 is: 969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.50 : 1,692.56 = 702.52 : x
  2. Step 2: Convert to fraction form
    1,226.50/1,692.56 = 702.52/x
  3. Step 3: Cross multiply
    1,226.50x = 1,692.56 × 702.52
  4. Step 4: Simplify right side
    1,226.50x = 1,189,057.25
  5. Step 5: Solve for x
    x = 1,189,057.25/1,226.50
  6. Step 6: Final answer
    x = 969.47

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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.