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Finding the Fourth Proportional to 1,606.14, 2,409.57 and 510.57

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Solution

The fourth proportional to 1,606.14, 2,409.57 and 510.57 is: 765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.14 : 2,409.57 = 510.57 : x
  2. Step 2: Convert to fraction form
    1,606.14/2,409.57 = 510.57/x
  3. Step 3: Cross multiply
    1,606.14x = 2,409.57 × 510.57
  4. Step 4: Simplify right side
    1,606.14x = 1,230,254.15
  5. Step 5: Solve for x
    x = 1,230,254.15/1,606.14
  6. Step 6: Final answer
    x = 765.97

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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.