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Finding the Fourth Proportional to 1,289.65, 1,779.75 and 758.57

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Solution

The fourth proportional to 1,289.65, 1,779.75 and 758.57 is: 1,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.65 : 1,779.75 = 758.57 : x
  2. Step 2: Convert to fraction form
    1,289.65/1,779.75 = 758.57/x
  3. Step 3: Cross multiply
    1,289.65x = 1,779.75 × 758.57
  4. Step 4: Simplify right side
    1,289.65x = 1,350,064.96
  5. Step 5: Solve for x
    x = 1,350,064.96/1,289.65
  6. Step 6: Final answer
    x = 1,046.85

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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.