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Finding the Fourth Proportional to 984.15, 1,357.56 and 591.10

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Solution

The fourth proportional to 984.15, 1,357.56 and 591.10 is: 815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.15 : 1,357.56 = 591.10 : x
  2. Step 2: Convert to fraction form
    984.15/1,357.56 = 591.10/x
  3. Step 3: Cross multiply
    984.15x = 1,357.56 × 591.10
  4. Step 4: Simplify right side
    984.15x = 802,450.32
  5. Step 5: Solve for x
    x = 802,450.32/984.15
  6. Step 6: Final answer
    x = 815.37

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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.