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Finding the Fourth Proportional to 1,605.26, 2,407.17 and 509.42

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Solution

The fourth proportional to 1,605.26, 2,407.17 and 509.42 is: 763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.26 : 2,407.17 = 509.42 : x
  2. Step 2: Convert to fraction form
    1,605.26/2,407.17 = 509.42/x
  3. Step 3: Cross multiply
    1,605.26x = 2,407.17 × 509.42
  4. Step 4: Simplify right side
    1,605.26x = 1,226,260.54
  5. Step 5: Solve for x
    x = 1,226,260.54/1,605.26
  6. Step 6: Final answer
    x = 763.90

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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.