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Finding the Fourth Proportional to 1,094.27, 1,509.95 and 799.02

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Solution

The fourth proportional to 1,094.27, 1,509.95 and 799.02 is: 1,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.27 : 1,509.95 = 799.02 : x
  2. Step 2: Convert to fraction form
    1,094.27/1,509.95 = 799.02/x
  3. Step 3: Cross multiply
    1,094.27x = 1,509.95 × 799.02
  4. Step 4: Simplify right side
    1,094.27x = 1,206,476.25
  5. Step 5: Solve for x
    x = 1,206,476.25/1,094.27
  6. Step 6: Final answer
    x = 1,102.54

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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.