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Finding the Fourth Proportional to 1,605.76, 2,407.92 and 509.92

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Solution

The fourth proportional to 1,605.76, 2,407.92 and 509.92 is: 764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.76 : 2,407.92 = 509.92 : x
  2. Step 2: Convert to fraction form
    1,605.76/2,407.92 = 509.92/x
  3. Step 3: Cross multiply
    1,605.76x = 2,407.92 × 509.92
  4. Step 4: Simplify right side
    1,605.76x = 1,227,846.57
  5. Step 5: Solve for x
    x = 1,227,846.57/1,605.76
  6. Step 6: Final answer
    x = 764.65

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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.