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Finding the Fourth Proportional to 1,734.48, 2,602.13 and 639.36

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Solution

The fourth proportional to 1,734.48, 2,602.13 and 639.36 is: 959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.48 : 2,602.13 = 639.36 : x
  2. Step 2: Convert to fraction form
    1,734.48/2,602.13 = 639.36/x
  3. Step 3: Cross multiply
    1,734.48x = 2,602.13 × 639.36
  4. Step 4: Simplify right side
    1,734.48x = 1,663,694.64
  5. Step 5: Solve for x
    x = 1,663,694.64/1,734.48
  6. Step 6: Final answer
    x = 959.19

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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.