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Finding the Fourth Proportional to 984.13, 1,358.38 and 586.07

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Solution

The fourth proportional to 984.13, 1,358.38 and 586.07 is: 808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.13 : 1,358.38 = 586.07 : x
  2. Step 2: Convert to fraction form
    984.13/1,358.38 = 586.07/x
  3. Step 3: Cross multiply
    984.13x = 1,358.38 × 586.07
  4. Step 4: Simplify right side
    984.13x = 796,105.77
  5. Step 5: Solve for x
    x = 796,105.77/984.13
  6. Step 6: Final answer
    x = 808.94

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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.