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Finding the Fourth Proportional to 1,439.13, 1,985.99 and 809.66

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Solution

The fourth proportional to 1,439.13, 1,985.99 and 809.66 is: 1,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.13 : 1,985.99 = 809.66 : x
  2. Step 2: Convert to fraction form
    1,439.13/1,985.99 = 809.66/x
  3. Step 3: Cross multiply
    1,439.13x = 1,985.99 × 809.66
  4. Step 4: Simplify right side
    1,439.13x = 1,607,972.14
  5. Step 5: Solve for x
    x = 1,607,972.14/1,439.13
  6. Step 6: Final answer
    x = 1,117.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.