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Finding the Fourth Proportional to 1,438.61, 1,985.17 and 809.02

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Solution

The fourth proportional to 1,438.61, 1,985.17 and 809.02 is: 1,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.61 : 1,985.17 = 809.02 : x
  2. Step 2: Convert to fraction form
    1,438.61/1,985.17 = 809.02/x
  3. Step 3: Cross multiply
    1,438.61x = 1,985.17 × 809.02
  4. Step 4: Simplify right side
    1,438.61x = 1,606,042.23
  5. Step 5: Solve for x
    x = 1,606,042.23/1,438.61
  6. Step 6: Final answer
    x = 1,116.38

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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.