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Finding the Fourth Proportional to 984.17, 1,357.97 and 591.20

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Solution

The fourth proportional to 984.17, 1,357.97 and 591.20 is: 815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.17 : 1,357.97 = 591.20 : x
  2. Step 2: Convert to fraction form
    984.17/1,357.97 = 591.20/x
  3. Step 3: Cross multiply
    984.17x = 1,357.97 × 591.20
  4. Step 4: Simplify right side
    984.17x = 802,825.07
  5. Step 5: Solve for x
    x = 802,825.07/984.17
  6. Step 6: Final answer
    x = 815.74

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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.