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Finding the Fourth Proportional to 997.65, 1,497.53 and 478.09

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Solution

The fourth proportional to 997.65, 1,497.53 and 478.09 is: 717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.65 : 1,497.53 = 478.09 : x
  2. Step 2: Convert to fraction form
    997.65/1,497.53 = 478.09/x
  3. Step 3: Cross multiply
    997.65x = 1,497.53 × 478.09
  4. Step 4: Simplify right side
    997.65x = 715,954.12
  5. Step 5: Solve for x
    x = 715,954.12/997.65
  6. Step 6: Final answer
    x = 717.64

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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.