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Finding the Fourth Proportional to 1,263.89, 1,744.17 and 704.35

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Solution

The fourth proportional to 1,263.89, 1,744.17 and 704.35 is: 972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.89 : 1,744.17 = 704.35 : x
  2. Step 2: Convert to fraction form
    1,263.89/1,744.17 = 704.35/x
  3. Step 3: Cross multiply
    1,263.89x = 1,744.17 × 704.35
  4. Step 4: Simplify right side
    1,263.89x = 1,228,500.14
  5. Step 5: Solve for x
    x = 1,228,500.14/1,263.89
  6. Step 6: Final answer
    x = 972.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.