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Finding the Fourth Proportional to 1,443.77, 2,165.85 and 566.11

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Solution

The fourth proportional to 1,443.77, 2,165.85 and 566.11 is: 849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.77 : 2,165.85 = 566.11 : x
  2. Step 2: Convert to fraction form
    1,443.77/2,165.85 = 566.11/x
  3. Step 3: Cross multiply
    1,443.77x = 2,165.85 × 566.11
  4. Step 4: Simplify right side
    1,443.77x = 1,226,109.34
  5. Step 5: Solve for x
    x = 1,226,109.34/1,443.77
  6. Step 6: Final answer
    x = 849.24

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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.