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Finding the Fourth Proportional to 1,522.78, 2,284.16 and 427.15

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Solution

The fourth proportional to 1,522.78, 2,284.16 and 427.15 is: 640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.78 : 2,284.16 = 427.15 : x
  2. Step 2: Convert to fraction form
    1,522.78/2,284.16 = 427.15/x
  3. Step 3: Cross multiply
    1,522.78x = 2,284.16 × 427.15
  4. Step 4: Simplify right side
    1,522.78x = 975,678.94
  5. Step 5: Solve for x
    x = 975,678.94/1,522.78
  6. Step 6: Final answer
    x = 640.72

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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.