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Finding the Fourth Proportional to 984.12, 1,357.46 and 591.07

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Solution

The fourth proportional to 984.12, 1,357.46 and 591.07 is: 815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.12 : 1,357.46 = 591.07 : x
  2. Step 2: Convert to fraction form
    984.12/1,357.46 = 591.07/x
  3. Step 3: Cross multiply
    984.12x = 1,357.46 × 591.07
  4. Step 4: Simplify right side
    984.12x = 802,347.09
  5. Step 5: Solve for x
    x = 802,347.09/984.12
  6. Step 6: Final answer
    x = 815.29

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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.