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Finding the Fourth Proportional to 1,447.81, 1,998.47 and 917.06

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Solution

The fourth proportional to 1,447.81, 1,998.47 and 917.06 is: 1,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.81 : 1,998.47 = 917.06 : x
  2. Step 2: Convert to fraction form
    1,447.81/1,998.47 = 917.06/x
  3. Step 3: Cross multiply
    1,447.81x = 1,998.47 × 917.06
  4. Step 4: Simplify right side
    1,447.81x = 1,832,709.20
  5. Step 5: Solve for x
    x = 1,832,709.20/1,447.81
  6. Step 6: Final answer
    x = 1,265.85

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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.