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Finding the Fourth Proportional to 1,060.04, 1,588.61 and 799.82

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Solution

The fourth proportional to 1,060.04, 1,588.61 and 799.82 is: 1,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.04 : 1,588.61 = 799.82 : x
  2. Step 2: Convert to fraction form
    1,060.04/1,588.61 = 799.82/x
  3. Step 3: Cross multiply
    1,060.04x = 1,588.61 × 799.82
  4. Step 4: Simplify right side
    1,060.04x = 1,270,602.05
  5. Step 5: Solve for x
    x = 1,270,602.05/1,060.04
  6. Step 6: Final answer
    x = 1,198.64

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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.