Home / 1,657.16-2,483.52-789.56

Finding the Fourth Proportional to 1,657.16, 2,483.52 and 789.56

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Solution

The fourth proportional to 1,657.16, 2,483.52 and 789.56 is: 1,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.16 : 2,483.52 = 789.56 : x
  2. Step 2: Convert to fraction form
    1,657.16/2,483.52 = 789.56/x
  3. Step 3: Cross multiply
    1,657.16x = 2,483.52 × 789.56
  4. Step 4: Simplify right side
    1,657.16x = 1,960,888.05
  5. Step 5: Solve for x
    x = 1,960,888.05/1,657.16
  6. Step 6: Final answer
    x = 1,183.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.