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Finding the Fourth Proportional to 1,539.59, 2,305.28 and 807.63

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Solution

The fourth proportional to 1,539.59, 2,305.28 and 807.63 is: 1,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.59 : 2,305.28 = 807.63 : x
  2. Step 2: Convert to fraction form
    1,539.59/2,305.28 = 807.63/x
  3. Step 3: Cross multiply
    1,539.59x = 2,305.28 × 807.63
  4. Step 4: Simplify right side
    1,539.59x = 1,861,813.29
  5. Step 5: Solve for x
    x = 1,861,813.29/1,539.59
  6. Step 6: Final answer
    x = 1,209.29

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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.