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Finding the Fourth Proportional to 1,226.52, 1,692.69 and 702.45

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Solution

The fourth proportional to 1,226.52, 1,692.69 and 702.45 is: 969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.52 : 1,692.69 = 702.45 : x
  2. Step 2: Convert to fraction form
    1,226.52/1,692.69 = 702.45/x
  3. Step 3: Cross multiply
    1,226.52x = 1,692.69 × 702.45
  4. Step 4: Simplify right side
    1,226.52x = 1,189,030.09
  5. Step 5: Solve for x
    x = 1,189,030.09/1,226.52
  6. Step 6: Final answer
    x = 969.43

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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.