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Finding the Fourth Proportional to 1,513.83, 2,270.38 and 539.92

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Solution

The fourth proportional to 1,513.83, 2,270.38 and 539.92 is: 809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.83 : 2,270.38 = 539.92 : x
  2. Step 2: Convert to fraction form
    1,513.83/2,270.38 = 539.92/x
  3. Step 3: Cross multiply
    1,513.83x = 2,270.38 × 539.92
  4. Step 4: Simplify right side
    1,513.83x = 1,225,823.57
  5. Step 5: Solve for x
    x = 1,225,823.57/1,513.83
  6. Step 6: Final answer
    x = 809.75

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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.