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Finding the Fourth Proportional to 1,605.77, 2,409.02 and 510.20

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Solution

The fourth proportional to 1,605.77, 2,409.02 and 510.20 is: 765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.77 : 2,409.02 = 510.20 : x
  2. Step 2: Convert to fraction form
    1,605.77/2,409.02 = 510.20/x
  3. Step 3: Cross multiply
    1,605.77x = 2,409.02 × 510.20
  4. Step 4: Simplify right side
    1,605.77x = 1,229,067.41
  5. Step 5: Solve for x
    x = 1,229,067.41/1,605.77
  6. Step 6: Final answer
    x = 765.41

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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.