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Finding the Fourth Proportional to 1,606.38, 2,409.94 and 566.46

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Solution

The fourth proportional to 1,606.38, 2,409.94 and 566.46 is: 849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.38 : 2,409.94 = 566.46 : x
  2. Step 2: Convert to fraction form
    1,606.38/2,409.94 = 566.46/x
  3. Step 3: Cross multiply
    1,606.38x = 2,409.94 × 566.46
  4. Step 4: Simplify right side
    1,606.38x = 1,365,132.13
  5. Step 5: Solve for x
    x = 1,365,132.13/1,606.38
  6. Step 6: Final answer
    x = 849.82

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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.