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Finding the Fourth Proportional to 1,438.74, 1,985.52 and 809.46

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Solution

The fourth proportional to 1,438.74, 1,985.52 and 809.46 is: 1,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.74 : 1,985.52 = 809.46 : x
  2. Step 2: Convert to fraction form
    1,438.74/1,985.52 = 809.46/x
  3. Step 3: Cross multiply
    1,438.74x = 1,985.52 × 809.46
  4. Step 4: Simplify right side
    1,438.74x = 1,607,199.02
  5. Step 5: Solve for x
    x = 1,607,199.02/1,438.74
  6. Step 6: Final answer
    x = 1,117.09

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