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Finding the Fourth Proportional to 799.14, 1,197.66 and 592.05

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Solution

The fourth proportional to 799.14, 1,197.66 and 592.05 is: 887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.14 : 1,197.66 = 592.05 : x
  2. Step 2: Convert to fraction form
    799.14/1,197.66 = 592.05/x
  3. Step 3: Cross multiply
    799.14x = 1,197.66 × 592.05
  4. Step 4: Simplify right side
    799.14x = 709,074.60
  5. Step 5: Solve for x
    x = 709,074.60/799.14
  6. Step 6: Final answer
    x = 887.30

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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.