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Finding the Fourth Proportional to 692.08, 954.39 and 587.05

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Solution

The fourth proportional to 692.08, 954.39 and 587.05 is: 809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.08 : 954.39 = 587.05 : x
  2. Step 2: Convert to fraction form
    692.08/954.39 = 587.05/x
  3. Step 3: Cross multiply
    692.08x = 954.39 × 587.05
  4. Step 4: Simplify right side
    692.08x = 560,274.65
  5. Step 5: Solve for x
    x = 560,274.65/692.08
  6. Step 6: Final answer
    x = 809.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.