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Finding the Fourth Proportional to 1,456.35, 2,182.99 and 578.62

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Solution

The fourth proportional to 1,456.35, 2,182.99 and 578.62 is: 867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.35 : 2,182.99 = 578.62 : x
  2. Step 2: Convert to fraction form
    1,456.35/2,182.99 = 578.62/x
  3. Step 3: Cross multiply
    1,456.35x = 2,182.99 × 578.62
  4. Step 4: Simplify right side
    1,456.35x = 1,263,121.67
  5. Step 5: Solve for x
    x = 1,263,121.67/1,456.35
  6. Step 6: Final answer
    x = 867.32

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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.