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Finding the Fourth Proportional to 1,091.20, 1,506.16 and 692.92

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Solution

The fourth proportional to 1,091.20, 1,506.16 and 692.92 is: 956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.20 : 1,506.16 = 692.92 : x
  2. Step 2: Convert to fraction form
    1,091.20/1,506.16 = 692.92/x
  3. Step 3: Cross multiply
    1,091.20x = 1,506.16 × 692.92
  4. Step 4: Simplify right side
    1,091.20x = 1,043,648.39
  5. Step 5: Solve for x
    x = 1,043,648.39/1,091.20
  6. Step 6: Final answer
    x = 956.42

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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.