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Finding the Fourth Proportional to 1,284.87, 1,926.12 and 699.02

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Solution

The fourth proportional to 1,284.87, 1,926.12 and 699.02 is: 1,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.87 : 1,926.12 = 699.02 : x
  2. Step 2: Convert to fraction form
    1,284.87/1,926.12 = 699.02/x
  3. Step 3: Cross multiply
    1,284.87x = 1,926.12 × 699.02
  4. Step 4: Simplify right side
    1,284.87x = 1,346,386.77
  5. Step 5: Solve for x
    x = 1,346,386.77/1,284.87
  6. Step 6: Final answer
    x = 1,047.88

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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.