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Finding the Fourth Proportional to 1,438.67, 1,985.54 and 809.22

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Solution

The fourth proportional to 1,438.67, 1,985.54 and 809.22 is: 1,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.67 : 1,985.54 = 809.22 : x
  2. Step 2: Convert to fraction form
    1,438.67/1,985.54 = 809.22/x
  3. Step 3: Cross multiply
    1,438.67x = 1,985.54 × 809.22
  4. Step 4: Simplify right side
    1,438.67x = 1,606,734.63
  5. Step 5: Solve for x
    x = 1,606,734.63/1,438.67
  6. Step 6: Final answer
    x = 1,116.82

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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.