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Finding the Fourth Proportional to 1,646.75, 2,471.20 and 606.76

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Solution

The fourth proportional to 1,646.75, 2,471.20 and 606.76 is: 910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.75 : 2,471.20 = 606.76 : x
  2. Step 2: Convert to fraction form
    1,646.75/2,471.20 = 606.76/x
  3. Step 3: Cross multiply
    1,646.75x = 2,471.20 × 606.76
  4. Step 4: Simplify right side
    1,646.75x = 1,499,431.49
  5. Step 5: Solve for x
    x = 1,499,431.49/1,646.75
  6. Step 6: Final answer
    x = 910.54

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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.