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Finding the Fourth Proportional to 984.54, 1,359.27 and 653.25

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Solution

The fourth proportional to 984.54, 1,359.27 and 653.25 is: 901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.54 : 1,359.27 = 653.25 : x
  2. Step 2: Convert to fraction form
    984.54/1,359.27 = 653.25/x
  3. Step 3: Cross multiply
    984.54x = 1,359.27 × 653.25
  4. Step 4: Simplify right side
    984.54x = 887,943.13
  5. Step 5: Solve for x
    x = 887,943.13/984.54
  6. Step 6: Final answer
    x = 901.89

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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.