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Finding the Fourth Proportional to 1,456.15, 2,184.46 and 482.48

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Solution

The fourth proportional to 1,456.15, 2,184.46 and 482.48 is: 723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.15 : 2,184.46 = 482.48 : x
  2. Step 2: Convert to fraction form
    1,456.15/2,184.46 = 482.48/x
  3. Step 3: Cross multiply
    1,456.15x = 2,184.46 × 482.48
  4. Step 4: Simplify right side
    1,456.15x = 1,053,955.85
  5. Step 5: Solve for x
    x = 1,053,955.85/1,456.15
  6. Step 6: Final answer
    x = 723.80

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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.