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Finding the Fourth Proportional to 692.97, 956.49 and 430.83

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Solution

The fourth proportional to 692.97, 956.49 and 430.83 is: 594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.97 : 956.49 = 430.83 : x
  2. Step 2: Convert to fraction form
    692.97/956.49 = 430.83/x
  3. Step 3: Cross multiply
    692.97x = 956.49 × 430.83
  4. Step 4: Simplify right side
    692.97x = 412,084.59
  5. Step 5: Solve for x
    x = 412,084.59/692.97
  6. Step 6: Final answer
    x = 594.66

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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.