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Finding the Fourth Proportional to 984.68, 1,358.30 and 591.48

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Solution

The fourth proportional to 984.68, 1,358.30 and 591.48 is: 815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.68 : 1,358.30 = 591.48 : x
  2. Step 2: Convert to fraction form
    984.68/1,358.30 = 591.48/x
  3. Step 3: Cross multiply
    984.68x = 1,358.30 × 591.48
  4. Step 4: Simplify right side
    984.68x = 803,407.28
  5. Step 5: Solve for x
    x = 803,407.28/984.68
  6. Step 6: Final answer
    x = 815.91

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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.