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Finding the Fourth Proportional to 1,733.80, 2,602.02 and 639.20

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Solution

The fourth proportional to 1,733.80, 2,602.02 and 639.20 is: 959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.80 : 2,602.02 = 639.20 : x
  2. Step 2: Convert to fraction form
    1,733.80/2,602.02 = 639.20/x
  3. Step 3: Cross multiply
    1,733.80x = 2,602.02 × 639.20
  4. Step 4: Simplify right side
    1,733.80x = 1,663,211.18
  5. Step 5: Solve for x
    x = 1,663,211.18/1,733.80
  6. Step 6: Final answer
    x = 959.29

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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.