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Finding the Fourth Proportional to 664.80, 992.28 and 623.76

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Solution

The fourth proportional to 664.80, 992.28 and 623.76 is: 931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.80 : 992.28 = 623.76 : x
  2. Step 2: Convert to fraction form
    664.80/992.28 = 623.76/x
  3. Step 3: Cross multiply
    664.80x = 992.28 × 623.76
  4. Step 4: Simplify right side
    664.80x = 618,944.57
  5. Step 5: Solve for x
    x = 618,944.57/664.80
  6. Step 6: Final answer
    x = 931.02

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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.