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Finding the Fourth Proportional to 1,605.48, 2,408.69 and 509.93

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Solution

The fourth proportional to 1,605.48, 2,408.69 and 509.93 is: 765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.48 : 2,408.69 = 509.93 : x
  2. Step 2: Convert to fraction form
    1,605.48/2,408.69 = 509.93/x
  3. Step 3: Cross multiply
    1,605.48x = 2,408.69 × 509.93
  4. Step 4: Simplify right side
    1,605.48x = 1,228,263.29
  5. Step 5: Solve for x
    x = 1,228,263.29/1,605.48
  6. Step 6: Final answer
    x = 765.04

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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.