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Finding the Fourth Proportional to 992.25, 1,369.31 and 578.25

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Solution

The fourth proportional to 992.25, 1,369.31 and 578.25 is: 797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.25 : 1,369.31 = 578.25 : x
  2. Step 2: Convert to fraction form
    992.25/1,369.31 = 578.25/x
  3. Step 3: Cross multiply
    992.25x = 1,369.31 × 578.25
  4. Step 4: Simplify right side
    992.25x = 791,803.51
  5. Step 5: Solve for x
    x = 791,803.51/992.25
  6. Step 6: Final answer
    x = 797.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.