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Finding the Fourth Proportional to 1,150.57, 1,585.93 and 797.01

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Solution

The fourth proportional to 1,150.57, 1,585.93 and 797.01 is: 1,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.57 : 1,585.93 = 797.01 : x
  2. Step 2: Convert to fraction form
    1,150.57/1,585.93 = 797.01/x
  3. Step 3: Cross multiply
    1,150.57x = 1,585.93 × 797.01
  4. Step 4: Simplify right side
    1,150.57x = 1,263,995.62
  5. Step 5: Solve for x
    x = 1,263,995.62/1,150.57
  6. Step 6: Final answer
    x = 1,098.58

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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.