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Finding the Fourth Proportional to 609.72, 910.64 and 551.82

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Solution

The fourth proportional to 609.72, 910.64 and 551.82 is: 824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.72 : 910.64 = 551.82 : x
  2. Step 2: Convert to fraction form
    609.72/910.64 = 551.82/x
  3. Step 3: Cross multiply
    609.72x = 910.64 × 551.82
  4. Step 4: Simplify right side
    609.72x = 502,506.61
  5. Step 5: Solve for x
    x = 502,506.61/609.72
  6. Step 6: Final answer
    x = 824.16

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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.