Home / 1,606.82-2,409.75-566.63

Finding the Fourth Proportional to 1,606.82, 2,409.75 and 566.63

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Solution

The fourth proportional to 1,606.82, 2,409.75 and 566.63 is: 849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.82 : 2,409.75 = 566.63 : x
  2. Step 2: Convert to fraction form
    1,606.82/2,409.75 = 566.63/x
  3. Step 3: Cross multiply
    1,606.82x = 2,409.75 × 566.63
  4. Step 4: Simplify right side
    1,606.82x = 1,365,424.59
  5. Step 5: Solve for x
    x = 1,365,424.59/1,606.82
  6. Step 6: Final answer
    x = 849.77

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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.