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Finding the Fourth Proportional to 1,248.24, 1,872.45 and 728.29

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Solution

The fourth proportional to 1,248.24, 1,872.45 and 728.29 is: 1,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.24 : 1,872.45 = 728.29 : x
  2. Step 2: Convert to fraction form
    1,248.24/1,872.45 = 728.29/x
  3. Step 3: Cross multiply
    1,248.24x = 1,872.45 × 728.29
  4. Step 4: Simplify right side
    1,248.24x = 1,363,692.02
  5. Step 5: Solve for x
    x = 1,363,692.02/1,248.24
  6. Step 6: Final answer
    x = 1,092.50

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1.5x scale

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.