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Finding the Fourth Proportional to 692.79, 956.42 and 535.08

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Solution

The fourth proportional to 692.79, 956.42 and 535.08 is: 738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.79 : 956.42 = 535.08 : x
  2. Step 2: Convert to fraction form
    692.79/956.42 = 535.08/x
  3. Step 3: Cross multiply
    692.79x = 956.42 × 535.08
  4. Step 4: Simplify right side
    692.79x = 511,758.54
  5. Step 5: Solve for x
    x = 511,758.54/692.79
  6. Step 6: Final answer
    x = 738.69

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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.