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Finding the Fourth Proportional to 1,289.72, 1,779.81 and 700.26

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Solution

The fourth proportional to 1,289.72, 1,779.81 and 700.26 is: 966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.72 : 1,779.81 = 700.26 : x
  2. Step 2: Convert to fraction form
    1,289.72/1,779.81 = 700.26/x
  3. Step 3: Cross multiply
    1,289.72x = 1,779.81 × 700.26
  4. Step 4: Simplify right side
    1,289.72x = 1,246,325.70
  5. Step 5: Solve for x
    x = 1,246,325.70/1,289.72
  6. Step 6: Final answer
    x = 966.36

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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.