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Finding the Fourth Proportional to 1,606.02, 2,409.12 and 511.08

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Solution

The fourth proportional to 1,606.02, 2,409.12 and 511.08 is: 766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.02 : 2,409.12 = 511.08 : x
  2. Step 2: Convert to fraction form
    1,606.02/2,409.12 = 511.08/x
  3. Step 3: Cross multiply
    1,606.02x = 2,409.12 × 511.08
  4. Step 4: Simplify right side
    1,606.02x = 1,231,253.05
  5. Step 5: Solve for x
    x = 1,231,253.05/1,606.02
  6. Step 6: Final answer
    x = 766.65

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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.