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Finding the Fourth Proportional to 692.82, 956.16 and 430.83

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Solution

The fourth proportional to 692.82, 956.16 and 430.83 is: 594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.82 : 956.16 = 430.83 : x
  2. Step 2: Convert to fraction form
    692.82/956.16 = 430.83/x
  3. Step 3: Cross multiply
    692.82x = 956.16 × 430.83
  4. Step 4: Simplify right side
    692.82x = 411,942.41
  5. Step 5: Solve for x
    x = 411,942.41/692.82
  6. Step 6: Final answer
    x = 594.59

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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.