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Finding the Fourth Proportional to 1,486.92, 2,230.38 and 620.76

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Solution

The fourth proportional to 1,486.92, 2,230.38 and 620.76 is: 931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.92 : 2,230.38 = 620.76 : x
  2. Step 2: Convert to fraction form
    1,486.92/2,230.38 = 620.76/x
  3. Step 3: Cross multiply
    1,486.92x = 2,230.38 × 620.76
  4. Step 4: Simplify right side
    1,486.92x = 1,384,530.69
  5. Step 5: Solve for x
    x = 1,384,530.69/1,486.92
  6. Step 6: Final answer
    x = 931.14

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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.