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Finding the Fourth Proportional to 1,009.11, 1,513.73 and 935.33

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Solution

The fourth proportional to 1,009.11, 1,513.73 and 935.33 is: 1,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.11 : 1,513.73 = 935.33 : x
  2. Step 2: Convert to fraction form
    1,009.11/1,513.73 = 935.33/x
  3. Step 3: Cross multiply
    1,009.11x = 1,513.73 × 935.33
  4. Step 4: Simplify right side
    1,009.11x = 1,415,837.08
  5. Step 5: Solve for x
    x = 1,415,837.08/1,009.11
  6. Step 6: Final answer
    x = 1,403.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.