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Finding the Fourth Proportional to 1,293.96, 1,785.69 and 704.50

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Solution

The fourth proportional to 1,293.96, 1,785.69 and 704.50 is: 972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.96 : 1,785.69 = 704.50 : x
  2. Step 2: Convert to fraction form
    1,293.96/1,785.69 = 704.50/x
  3. Step 3: Cross multiply
    1,293.96x = 1,785.69 × 704.50
  4. Step 4: Simplify right side
    1,293.96x = 1,258,020.84
  5. Step 5: Solve for x
    x = 1,258,020.84/1,293.96
  6. Step 6: Final answer
    x = 972.22

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Why These Related Problems?

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