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Finding the Fourth Proportional to 1,734.01, 2,599.80 and 638.23

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Solution

The fourth proportional to 1,734.01, 2,599.80 and 638.23 is: 956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.01 : 2,599.80 = 638.23 : x
  2. Step 2: Convert to fraction form
    1,734.01/2,599.80 = 638.23/x
  3. Step 3: Cross multiply
    1,734.01x = 2,599.80 × 638.23
  4. Step 4: Simplify right side
    1,734.01x = 1,659,267.96
  5. Step 5: Solve for x
    x = 1,659,267.96/1,734.01
  6. Step 6: Final answer
    x = 956.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.