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Finding the Fourth Proportional to 924.53, 1,386.74 and 665.73

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Solution

The fourth proportional to 924.53, 1,386.74 and 665.73 is: 998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.53 : 1,386.74 = 665.73 : x
  2. Step 2: Convert to fraction form
    924.53/1,386.74 = 665.73/x
  3. Step 3: Cross multiply
    924.53x = 1,386.74 × 665.73
  4. Step 4: Simplify right side
    924.53x = 923,191.09
  5. Step 5: Solve for x
    x = 923,191.09/924.53
  6. Step 6: Final answer
    x = 998.56

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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.