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Finding the Fourth Proportional to 984.67, 1,358.66 and 591.70

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Solution

The fourth proportional to 984.67, 1,358.66 and 591.70 is: 816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.67 : 1,358.66 = 591.70 : x
  2. Step 2: Convert to fraction form
    984.67/1,358.66 = 591.70/x
  3. Step 3: Cross multiply
    984.67x = 1,358.66 × 591.70
  4. Step 4: Simplify right side
    984.67x = 803,919.12
  5. Step 5: Solve for x
    x = 803,919.12/984.67
  6. Step 6: Final answer
    x = 816.44

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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.