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Finding the Fourth Proportional to 692.74, 1,037.67 and 345.02

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Solution

The fourth proportional to 692.74, 1,037.67 and 345.02 is: 516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.74 : 1,037.67 = 345.02 : x
  2. Step 2: Convert to fraction form
    692.74/1,037.67 = 345.02/x
  3. Step 3: Cross multiply
    692.74x = 1,037.67 × 345.02
  4. Step 4: Simplify right side
    692.74x = 358,019.50
  5. Step 5: Solve for x
    x = 358,019.50/692.74
  6. Step 6: Final answer
    x = 516.82

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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.