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Finding the Fourth Proportional to 1,387.28, 1,914.77 and 798.15

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Solution

The fourth proportional to 1,387.28, 1,914.77 and 798.15 is: 1,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.28 : 1,914.77 = 798.15 : x
  2. Step 2: Convert to fraction form
    1,387.28/1,914.77 = 798.15/x
  3. Step 3: Cross multiply
    1,387.28x = 1,914.77 × 798.15
  4. Step 4: Simplify right side
    1,387.28x = 1,528,273.68
  5. Step 5: Solve for x
    x = 1,528,273.68/1,387.28
  6. Step 6: Final answer
    x = 1,101.63

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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.