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Finding the Fourth Proportional to 1,438.07, 1,984.46 and 808.52

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Solution

The fourth proportional to 1,438.07, 1,984.46 and 808.52 is: 1,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.07 : 1,984.46 = 808.52 : x
  2. Step 2: Convert to fraction form
    1,438.07/1,984.46 = 808.52/x
  3. Step 3: Cross multiply
    1,438.07x = 1,984.46 × 808.52
  4. Step 4: Simplify right side
    1,438.07x = 1,604,461.63
  5. Step 5: Solve for x
    x = 1,604,461.63/1,438.07
  6. Step 6: Final answer
    x = 1,115.71

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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.