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Finding the Fourth Proportional to 1,522.47, 2,284.11 and 482.50

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Solution

The fourth proportional to 1,522.47, 2,284.11 and 482.50 is: 723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.47 : 2,284.11 = 482.50 : x
  2. Step 2: Convert to fraction form
    1,522.47/2,284.11 = 482.50/x
  3. Step 3: Cross multiply
    1,522.47x = 2,284.11 × 482.50
  4. Step 4: Simplify right side
    1,522.47x = 1,102,083.08
  5. Step 5: Solve for x
    x = 1,102,083.08/1,522.47
  6. Step 6: Final answer
    x = 723.88

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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.