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Finding the Fourth Proportional to 1,437.24, 2,155.86 and 411.24

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Solution

The fourth proportional to 1,437.24, 2,155.86 and 411.24 is: 616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.24 : 2,155.86 = 411.24 : x
  2. Step 2: Convert to fraction form
    1,437.24/2,155.86 = 411.24/x
  3. Step 3: Cross multiply
    1,437.24x = 2,155.86 × 411.24
  4. Step 4: Simplify right side
    1,437.24x = 886,575.87
  5. Step 5: Solve for x
    x = 886,575.87/1,437.24
  6. Step 6: Final answer
    x = 616.86

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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.