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Finding the Fourth Proportional to 1,252.26, 1,728.16 and 692.76

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Solution

The fourth proportional to 1,252.26, 1,728.16 and 692.76 is: 956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.26 : 1,728.16 = 692.76 : x
  2. Step 2: Convert to fraction form
    1,252.26/1,728.16 = 692.76/x
  3. Step 3: Cross multiply
    1,252.26x = 1,728.16 × 692.76
  4. Step 4: Simplify right side
    1,252.26x = 1,197,200.12
  5. Step 5: Solve for x
    x = 1,197,200.12/1,252.26
  6. Step 6: Final answer
    x = 956.03

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Half scale
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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.