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Finding the Fourth Proportional to 1,486.22, 2,229.02 and 561.76

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Solution

The fourth proportional to 1,486.22, 2,229.02 and 561.76 is: 842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.22 : 2,229.02 = 561.76 : x
  2. Step 2: Convert to fraction form
    1,486.22/2,229.02 = 561.76/x
  3. Step 3: Cross multiply
    1,486.22x = 2,229.02 × 561.76
  4. Step 4: Simplify right side
    1,486.22x = 1,252,174.28
  5. Step 5: Solve for x
    x = 1,252,174.28/1,486.22
  6. Step 6: Final answer
    x = 842.52

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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.