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Finding the Fourth Proportional to 1,053.05, 1,453.83 and 699.08

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Solution

The fourth proportional to 1,053.05, 1,453.83 and 699.08 is: 965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.05 : 1,453.83 = 699.08 : x
  2. Step 2: Convert to fraction form
    1,053.05/1,453.83 = 699.08/x
  3. Step 3: Cross multiply
    1,053.05x = 1,453.83 × 699.08
  4. Step 4: Simplify right side
    1,053.05x = 1,016,343.48
  5. Step 5: Solve for x
    x = 1,016,343.48/1,053.05
  6. Step 6: Final answer
    x = 965.14

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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.