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Finding the Fourth Proportional to 1,522.76, 2,284.32 and 482.57

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Solution

The fourth proportional to 1,522.76, 2,284.32 and 482.57 is: 723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.76 : 2,284.32 = 482.57 : x
  2. Step 2: Convert to fraction form
    1,522.76/2,284.32 = 482.57/x
  3. Step 3: Cross multiply
    1,522.76x = 2,284.32 × 482.57
  4. Step 4: Simplify right side
    1,522.76x = 1,102,332.88
  5. Step 5: Solve for x
    x = 1,102,332.88/1,522.76
  6. Step 6: Final answer
    x = 723.91

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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.