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Finding the Fourth Proportional to 717.69, 1,074.93 and 623.94

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Solution

The fourth proportional to 717.69, 1,074.93 and 623.94 is: 934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.69 : 1,074.93 = 623.94 : x
  2. Step 2: Convert to fraction form
    717.69/1,074.93 = 623.94/x
  3. Step 3: Cross multiply
    717.69x = 1,074.93 × 623.94
  4. Step 4: Simplify right side
    717.69x = 670,691.82
  5. Step 5: Solve for x
    x = 670,691.82/717.69
  6. Step 6: Final answer
    x = 934.51

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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.