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Finding the Fourth Proportional to 660.48, 984.72 and 611.84

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Solution

The fourth proportional to 660.48, 984.72 and 611.84 is: 912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.48 : 984.72 = 611.84 : x
  2. Step 2: Convert to fraction form
    660.48/984.72 = 611.84/x
  3. Step 3: Cross multiply
    660.48x = 984.72 × 611.84
  4. Step 4: Simplify right side
    660.48x = 602,491.08
  5. Step 5: Solve for x
    x = 602,491.08/660.48
  6. Step 6: Final answer
    x = 912.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.