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Finding the Fourth Proportional to 692.69, 956.07 and 444.60

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Solution

The fourth proportional to 692.69, 956.07 and 444.60 is: 613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.69 : 956.07 = 444.60 : x
  2. Step 2: Convert to fraction form
    692.69/956.07 = 444.60/x
  3. Step 3: Cross multiply
    692.69x = 956.07 × 444.60
  4. Step 4: Simplify right side
    692.69x = 425,068.72
  5. Step 5: Solve for x
    x = 425,068.72/692.69
  6. Step 6: Final answer
    x = 613.65

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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.