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Finding the Fourth Proportional to 692.01, 1,037.88 and 253.53

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Solution

The fourth proportional to 692.01, 1,037.88 and 253.53 is: 380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.01 : 1,037.88 = 253.53 : x
  2. Step 2: Convert to fraction form
    692.01/1,037.88 = 253.53/x
  3. Step 3: Cross multiply
    692.01x = 1,037.88 × 253.53
  4. Step 4: Simplify right side
    692.01x = 263,133.72
  5. Step 5: Solve for x
    x = 263,133.72/692.01
  6. Step 6: Final answer
    x = 380.25

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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.