Home / 1,456.35-2,183.85-532.14

Finding the Fourth Proportional to 1,456.35, 2,183.85 and 532.14

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Solution

The fourth proportional to 1,456.35, 2,183.85 and 532.14 is: 797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.35 : 2,183.85 = 532.14 : x
  2. Step 2: Convert to fraction form
    1,456.35/2,183.85 = 532.14/x
  3. Step 3: Cross multiply
    1,456.35x = 2,183.85 × 532.14
  4. Step 4: Simplify right side
    1,456.35x = 1,162,113.94
  5. Step 5: Solve for x
    x = 1,162,113.94/1,456.35
  6. Step 6: Final answer
    x = 797.96

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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.