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Finding the Fourth Proportional to 1,252.82, 1,878.64 and 522.20

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Solution

The fourth proportional to 1,252.82, 1,878.64 and 522.20 is: 783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.82 : 1,878.64 = 522.20 : x
  2. Step 2: Convert to fraction form
    1,252.82/1,878.64 = 522.20/x
  3. Step 3: Cross multiply
    1,252.82x = 1,878.64 × 522.20
  4. Step 4: Simplify right side
    1,252.82x = 981,015.11
  5. Step 5: Solve for x
    x = 981,015.11/1,252.82
  6. Step 6: Final answer
    x = 783.05

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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.