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Finding the Fourth Proportional to 1,171.14, 1,747.68 and 1,048.14

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Solution

The fourth proportional to 1,171.14, 1,747.68 and 1,048.14 is: 1,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.14 : 1,747.68 = 1,048.14 : x
  2. Step 2: Convert to fraction form
    1,171.14/1,747.68 = 1,048.14/x
  3. Step 3: Cross multiply
    1,171.14x = 1,747.68 × 1,048.14
  4. Step 4: Simplify right side
    1,171.14x = 1,831,813.32
  5. Step 5: Solve for x
    x = 1,831,813.32/1,171.14
  6. Step 6: Final answer
    x = 1,564.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.