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Finding the Fourth Proportional to 692.70, 1,037.70 and 644.10

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Solution

The fourth proportional to 692.70, 1,037.70 and 644.10 is: 964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.70 : 1,037.70 = 644.10 : x
  2. Step 2: Convert to fraction form
    692.70/1,037.70 = 644.10/x
  3. Step 3: Cross multiply
    692.70x = 1,037.70 × 644.10
  4. Step 4: Simplify right side
    692.70x = 668,382.57
  5. Step 5: Solve for x
    x = 668,382.57/692.70
  6. Step 6: Final answer
    x = 964.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.