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Finding the Fourth Proportional to 1,456.94, 2,183.86 and 578.24

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Solution

The fourth proportional to 1,456.94, 2,183.86 and 578.24 is: 866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.94 : 2,183.86 = 578.24 : x
  2. Step 2: Convert to fraction form
    1,456.94/2,183.86 = 578.24/x
  3. Step 3: Cross multiply
    1,456.94x = 2,183.86 × 578.24
  4. Step 4: Simplify right side
    1,456.94x = 1,262,795.21
  5. Step 5: Solve for x
    x = 1,262,795.21/1,456.94
  6. Step 6: Final answer
    x = 866.74

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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.