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Finding the Fourth Proportional to 1,215.70, 1,822.47 and 566.26

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Solution

The fourth proportional to 1,215.70, 1,822.47 and 566.26 is: 848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.70 : 1,822.47 = 566.26 : x
  2. Step 2: Convert to fraction form
    1,215.70/1,822.47 = 566.26/x
  3. Step 3: Cross multiply
    1,215.70x = 1,822.47 × 566.26
  4. Step 4: Simplify right side
    1,215.70x = 1,031,991.86
  5. Step 5: Solve for x
    x = 1,031,991.86/1,215.70
  6. Step 6: Final answer
    x = 848.89

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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.