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Finding the Fourth Proportional to 1,214.82, 1,822.84 and 566.02

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Solution

The fourth proportional to 1,214.82, 1,822.84 and 566.02 is: 849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.82 : 1,822.84 = 566.02 : x
  2. Step 2: Convert to fraction form
    1,214.82/1,822.84 = 566.02/x
  3. Step 3: Cross multiply
    1,214.82x = 1,822.84 × 566.02
  4. Step 4: Simplify right side
    1,214.82x = 1,031,763.90
  5. Step 5: Solve for x
    x = 1,031,763.90/1,214.82
  6. Step 6: Final answer
    x = 849.31

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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.