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Finding the Fourth Proportional to 1,104.28, 1,654.54 and 692.50

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Solution

The fourth proportional to 1,104.28, 1,654.54 and 692.50 is: 1,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.28 : 1,654.54 = 692.50 : x
  2. Step 2: Convert to fraction form
    1,104.28/1,654.54 = 692.50/x
  3. Step 3: Cross multiply
    1,104.28x = 1,654.54 × 692.50
  4. Step 4: Simplify right side
    1,104.28x = 1,145,768.95
  5. Step 5: Solve for x
    x = 1,145,768.95/1,104.28
  6. Step 6: Final answer
    x = 1,037.57

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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.