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Finding the Fourth Proportional to 1,441.77, 2,162.10 and 564.15

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Solution

The fourth proportional to 1,441.77, 2,162.10 and 564.15 is: 846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.77 : 2,162.10 = 564.15 : x
  2. Step 2: Convert to fraction form
    1,441.77/2,162.10 = 564.15/x
  3. Step 3: Cross multiply
    1,441.77x = 2,162.10 × 564.15
  4. Step 4: Simplify right side
    1,441.77x = 1,219,748.72
  5. Step 5: Solve for x
    x = 1,219,748.72/1,441.77
  6. Step 6: Final answer
    x = 846.01

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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.