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Finding the Fourth Proportional to 630.77, 946.16 and 523.31

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Solution

The fourth proportional to 630.77, 946.16 and 523.31 is: 784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.77 : 946.16 = 523.31 : x
  2. Step 2: Convert to fraction form
    630.77/946.16 = 523.31/x
  3. Step 3: Cross multiply
    630.77x = 946.16 × 523.31
  4. Step 4: Simplify right side
    630.77x = 495,132.37
  5. Step 5: Solve for x
    x = 495,132.37/630.77
  6. Step 6: Final answer
    x = 784.97

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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.