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Finding the Fourth Proportional to 1,456.14, 2,184.21 and 482.32

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Solution

The fourth proportional to 1,456.14, 2,184.21 and 482.32 is: 723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.14 : 2,184.21 = 482.32 : x
  2. Step 2: Convert to fraction form
    1,456.14/2,184.21 = 482.32/x
  3. Step 3: Cross multiply
    1,456.14x = 2,184.21 × 482.32
  4. Step 4: Simplify right side
    1,456.14x = 1,053,474.83
  5. Step 5: Solve for x
    x = 1,053,474.83/1,456.14
  6. Step 6: Final answer
    x = 723.47

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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.