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Finding the Fourth Proportional to 1,456.40, 2,184.46 and 482.38

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Solution

The fourth proportional to 1,456.40, 2,184.46 and 482.38 is: 723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.40 : 2,184.46 = 482.38 : x
  2. Step 2: Convert to fraction form
    1,456.40/2,184.46 = 482.38/x
  3. Step 3: Cross multiply
    1,456.40x = 2,184.46 × 482.38
  4. Step 4: Simplify right side
    1,456.40x = 1,053,739.81
  5. Step 5: Solve for x
    x = 1,053,739.81/1,456.40
  6. Step 6: Final answer
    x = 723.52

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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.