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Finding the Fourth Proportional to 1,513.86, 2,271.06 and 539.90

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Solution

The fourth proportional to 1,513.86, 2,271.06 and 539.90 is: 809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.86 : 2,271.06 = 539.90 : x
  2. Step 2: Convert to fraction form
    1,513.86/2,271.06 = 539.90/x
  3. Step 3: Cross multiply
    1,513.86x = 2,271.06 × 539.90
  4. Step 4: Simplify right side
    1,513.86x = 1,226,145.29
  5. Step 5: Solve for x
    x = 1,226,145.29/1,513.86
  6. Step 6: Final answer
    x = 809.95

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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.