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Finding the Fourth Proportional to 653.28, 977.76 and 523.68

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Solution

The fourth proportional to 653.28, 977.76 and 523.68 is: 783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.28 : 977.76 = 523.68 : x
  2. Step 2: Convert to fraction form
    653.28/977.76 = 523.68/x
  3. Step 3: Cross multiply
    653.28x = 977.76 × 523.68
  4. Step 4: Simplify right side
    653.28x = 512,033.36
  5. Step 5: Solve for x
    x = 512,033.36/653.28
  6. Step 6: Final answer
    x = 783.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.