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Finding the Fourth Proportional to 1,447.49, 1,998.14 and 917.15

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Solution

The fourth proportional to 1,447.49, 1,998.14 and 917.15 is: 1,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.49 : 1,998.14 = 917.15 : x
  2. Step 2: Convert to fraction form
    1,447.49/1,998.14 = 917.15/x
  3. Step 3: Cross multiply
    1,447.49x = 1,998.14 × 917.15
  4. Step 4: Simplify right side
    1,447.49x = 1,832,579.52
  5. Step 5: Solve for x
    x = 1,832,579.52/1,447.49
  6. Step 6: Final answer
    x = 1,266.04

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1.5x scale

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.