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Finding the Fourth Proportional to 1,065.02, 1,597.83 and 699.37

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Solution

The fourth proportional to 1,065.02, 1,597.83 and 699.37 is: 1,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.02 : 1,597.83 = 699.37 : x
  2. Step 2: Convert to fraction form
    1,065.02/1,597.83 = 699.37/x
  3. Step 3: Cross multiply
    1,065.02x = 1,597.83 × 699.37
  4. Step 4: Simplify right side
    1,065.02x = 1,117,467.75
  5. Step 5: Solve for x
    x = 1,117,467.75/1,065.02
  6. Step 6: Final answer
    x = 1,049.25

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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.