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Finding the Fourth Proportional to 1,606.78, 2,409.96 and 511.15

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Solution

The fourth proportional to 1,606.78, 2,409.96 and 511.15 is: 766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.78 : 2,409.96 = 511.15 : x
  2. Step 2: Convert to fraction form
    1,606.78/2,409.96 = 511.15/x
  3. Step 3: Cross multiply
    1,606.78x = 2,409.96 × 511.15
  4. Step 4: Simplify right side
    1,606.78x = 1,231,851.05
  5. Step 5: Solve for x
    x = 1,231,851.05/1,606.78
  6. Step 6: Final answer
    x = 766.66

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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.