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Finding the Fourth Proportional to 1,456, 2,184.48 and 589.84

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Solution

The fourth proportional to 1,456, 2,184.48 and 589.84 is: 884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456 : 2,184.48 = 589.84 : x
  2. Step 2: Convert to fraction form
    1,456/2,184.48 = 589.84/x
  3. Step 3: Cross multiply
    1,456x = 2,184.48 × 589.84
  4. Step 4: Simplify right side
    1,456x = 1,288,493.68
  5. Step 5: Solve for x
    x = 1,288,493.68/1,456
  6. Step 6: Final answer
    x = 884.95

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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.