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Finding the Fourth Proportional to 1,438.63, 1,985.20 and 809.04

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Solution

The fourth proportional to 1,438.63, 1,985.20 and 809.04 is: 1,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.63 : 1,985.20 = 809.04 : x
  2. Step 2: Convert to fraction form
    1,438.63/1,985.20 = 809.04/x
  3. Step 3: Cross multiply
    1,438.63x = 1,985.20 × 809.04
  4. Step 4: Simplify right side
    1,438.63x = 1,606,092.24
  5. Step 5: Solve for x
    x = 1,606,092.24/1,438.63
  6. Step 6: Final answer
    x = 1,116.40

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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.