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Finding the Fourth Proportional to 664.90, 999.51 and 616.38

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Solution

The fourth proportional to 664.90, 999.51 and 616.38 is: 926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.90 : 999.51 = 616.38 : x
  2. Step 2: Convert to fraction form
    664.90/999.51 = 616.38/x
  3. Step 3: Cross multiply
    664.90x = 999.51 × 616.38
  4. Step 4: Simplify right side
    664.90x = 616,071.91
  5. Step 5: Solve for x
    x = 616,071.91/664.90
  6. Step 6: Final answer
    x = 926.57

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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.