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Finding the Fourth Proportional to 611.52, 921.42 and 505.68

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Solution

The fourth proportional to 611.52, 921.42 and 505.68 is: 761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.52 : 921.42 = 505.68 : x
  2. Step 2: Convert to fraction form
    611.52/921.42 = 505.68/x
  3. Step 3: Cross multiply
    611.52x = 921.42 × 505.68
  4. Step 4: Simplify right side
    611.52x = 465,943.67
  5. Step 5: Solve for x
    x = 465,943.67/611.52
  6. Step 6: Final answer
    x = 761.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.