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Finding the Fourth Proportional to 1,287.30, 1,933.32 and 671.42

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Solution

The fourth proportional to 1,287.30, 1,933.32 and 671.42 is: 1,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.30 : 1,933.32 = 671.42 : x
  2. Step 2: Convert to fraction form
    1,287.30/1,933.32 = 671.42/x
  3. Step 3: Cross multiply
    1,287.30x = 1,933.32 × 671.42
  4. Step 4: Simplify right side
    1,287.30x = 1,298,069.71
  5. Step 5: Solve for x
    x = 1,298,069.71/1,287.30
  6. Step 6: Final answer
    x = 1,008.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.