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Finding the Fourth Proportional to 1,226.04, 1,692.30 and 702.42

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Solution

The fourth proportional to 1,226.04, 1,692.30 and 702.42 is: 969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.04 : 1,692.30 = 702.42 : x
  2. Step 2: Convert to fraction form
    1,226.04/1,692.30 = 702.42/x
  3. Step 3: Cross multiply
    1,226.04x = 1,692.30 × 702.42
  4. Step 4: Simplify right side
    1,226.04x = 1,188,705.37
  5. Step 5: Solve for x
    x = 1,188,705.37/1,226.04
  6. Step 6: Final answer
    x = 969.55

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1.5x scale

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.