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Finding the Fourth Proportional to 1,522.71, 2,284.16 and 482.69

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Solution

The fourth proportional to 1,522.71, 2,284.16 and 482.69 is: 724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.71 : 2,284.16 = 482.69 : x
  2. Step 2: Convert to fraction form
    1,522.71/2,284.16 = 482.69/x
  3. Step 3: Cross multiply
    1,522.71x = 2,284.16 × 482.69
  4. Step 4: Simplify right side
    1,522.71x = 1,102,544.49
  5. Step 5: Solve for x
    x = 1,102,544.49/1,522.71
  6. Step 6: Final answer
    x = 724.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.