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Finding the Fourth Proportional to 1,294.03, 1,785.72 and 704.55

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Solution

The fourth proportional to 1,294.03, 1,785.72 and 704.55 is: 972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.03 : 1,785.72 = 704.55 : x
  2. Step 2: Convert to fraction form
    1,294.03/1,785.72 = 704.55/x
  3. Step 3: Cross multiply
    1,294.03x = 1,785.72 × 704.55
  4. Step 4: Simplify right side
    1,294.03x = 1,258,131.67
  5. Step 5: Solve for x
    x = 1,258,131.67/1,294.03
  6. Step 6: Final answer
    x = 972.26

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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.