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Finding the Fourth Proportional to 606.97, 914.69 and 549.24

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Solution

The fourth proportional to 606.97, 914.69 and 549.24 is: 827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.97 : 914.69 = 549.24 : x
  2. Step 2: Convert to fraction form
    606.97/914.69 = 549.24/x
  3. Step 3: Cross multiply
    606.97x = 914.69 × 549.24
  4. Step 4: Simplify right side
    606.97x = 502,384.34
  5. Step 5: Solve for x
    x = 502,384.34/606.97
  6. Step 6: Final answer
    x = 827.69

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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.