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Finding the Fourth Proportional to 1,522.92, 2,284.08 and 427.06

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Solution

The fourth proportional to 1,522.92, 2,284.08 and 427.06 is: 640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.92 : 2,284.08 = 427.06 : x
  2. Step 2: Convert to fraction form
    1,522.92/2,284.08 = 427.06/x
  3. Step 3: Cross multiply
    1,522.92x = 2,284.08 × 427.06
  4. Step 4: Simplify right side
    1,522.92x = 975,439.20
  5. Step 5: Solve for x
    x = 975,439.20/1,522.92
  6. Step 6: Final answer
    x = 640.51

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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.