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Finding the Fourth Proportional to 992.42, 1,368.90 and 593.80

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Solution

The fourth proportional to 992.42, 1,368.90 and 593.80 is: 819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.42 : 1,368.90 = 593.80 : x
  2. Step 2: Convert to fraction form
    992.42/1,368.90 = 593.80/x
  3. Step 3: Cross multiply
    992.42x = 1,368.90 × 593.80
  4. Step 4: Simplify right side
    992.42x = 812,849.40
  5. Step 5: Solve for x
    x = 812,849.40/992.42
  6. Step 6: Final answer
    x = 819.06

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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.