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Finding the Fourth Proportional to 522.92, 779.80 and 494.16

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Solution

The fourth proportional to 522.92, 779.80 and 494.16 is: 736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.92 : 779.80 = 494.16 : x
  2. Step 2: Convert to fraction form
    522.92/779.80 = 494.16/x
  3. Step 3: Cross multiply
    522.92x = 779.80 × 494.16
  4. Step 4: Simplify right side
    522.92x = 385,345.97
  5. Step 5: Solve for x
    x = 385,345.97/522.92
  6. Step 6: Final answer
    x = 736.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.