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Finding the Fourth Proportional to 1,760.32, 2,640.28 and 461.89

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Solution

The fourth proportional to 1,760.32, 2,640.28 and 461.89 is: 692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.32 : 2,640.28 = 461.89 : x
  2. Step 2: Convert to fraction form
    1,760.32/2,640.28 = 461.89/x
  3. Step 3: Cross multiply
    1,760.32x = 2,640.28 × 461.89
  4. Step 4: Simplify right side
    1,760.32x = 1,219,518.93
  5. Step 5: Solve for x
    x = 1,219,518.93/1,760.32
  6. Step 6: Final answer
    x = 692.78

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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.