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Finding the Fourth Proportional to 1,273.38, 1,754.89 and 993.17

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Solution

The fourth proportional to 1,273.38, 1,754.89 and 993.17 is: 1,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.38 : 1,754.89 = 993.17 : x
  2. Step 2: Convert to fraction form
    1,273.38/1,754.89 = 993.17/x
  3. Step 3: Cross multiply
    1,273.38x = 1,754.89 × 993.17
  4. Step 4: Simplify right side
    1,273.38x = 1,742,904.10
  5. Step 5: Solve for x
    x = 1,742,904.10/1,273.38
  6. Step 6: Final answer
    x = 1,368.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.