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Finding the Fourth Proportional to 692.19, 1,037.07 and 675.18

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Solution

The fourth proportional to 692.19, 1,037.07 and 675.18 is: 1,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.19 : 1,037.07 = 675.18 : x
  2. Step 2: Convert to fraction form
    692.19/1,037.07 = 675.18/x
  3. Step 3: Cross multiply
    692.19x = 1,037.07 × 675.18
  4. Step 4: Simplify right side
    692.19x = 700,208.92
  5. Step 5: Solve for x
    x = 700,208.92/692.19
  6. Step 6: Final answer
    x = 1,011.58

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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.