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Finding the Fourth Proportional to 1,011.09, 1,393.37 and 871.17

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Solution

The fourth proportional to 1,011.09, 1,393.37 and 871.17 is: 1,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.09 : 1,393.37 = 871.17 : x
  2. Step 2: Convert to fraction form
    1,011.09/1,393.37 = 871.17/x
  3. Step 3: Cross multiply
    1,011.09x = 1,393.37 × 871.17
  4. Step 4: Simplify right side
    1,011.09x = 1,213,862.14
  5. Step 5: Solve for x
    x = 1,213,862.14/1,011.09
  6. Step 6: Final answer
    x = 1,200.55

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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.