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Finding the Fourth Proportional to 1,605.63, 2,409.13 and 510.08

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Solution

The fourth proportional to 1,605.63, 2,409.13 and 510.08 is: 765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.63 : 2,409.13 = 510.08 : x
  2. Step 2: Convert to fraction form
    1,605.63/2,409.13 = 510.08/x
  3. Step 3: Cross multiply
    1,605.63x = 2,409.13 × 510.08
  4. Step 4: Simplify right side
    1,605.63x = 1,228,849.03
  5. Step 5: Solve for x
    x = 1,228,849.03/1,605.63
  6. Step 6: Final answer
    x = 765.34

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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.