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Finding the Fourth Proportional to 992.46, 1,369.44 and 572.84

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Solution

The fourth proportional to 992.46, 1,369.44 and 572.84 is: 790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.46 : 1,369.44 = 572.84 : x
  2. Step 2: Convert to fraction form
    992.46/1,369.44 = 572.84/x
  3. Step 3: Cross multiply
    992.46x = 1,369.44 × 572.84
  4. Step 4: Simplify right side
    992.46x = 784,463.16
  5. Step 5: Solve for x
    x = 784,463.16/992.46
  6. Step 6: Final answer
    x = 790.42

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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.