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Finding the Fourth Proportional to 735.61, 1,103.69 and 692.14

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Solution

The fourth proportional to 735.61, 1,103.69 and 692.14 is: 1,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.61 : 1,103.69 = 692.14 : x
  2. Step 2: Convert to fraction form
    735.61/1,103.69 = 692.14/x
  3. Step 3: Cross multiply
    735.61x = 1,103.69 × 692.14
  4. Step 4: Simplify right side
    735.61x = 763,906.78
  5. Step 5: Solve for x
    x = 763,906.78/735.61
  6. Step 6: Final answer
    x = 1,038.47

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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.