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Finding the Fourth Proportional to 992.44, 1,369.47 and 572.83

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Solution

The fourth proportional to 992.44, 1,369.47 and 572.83 is: 790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.44 : 1,369.47 = 572.83 : x
  2. Step 2: Convert to fraction form
    992.44/1,369.47 = 572.83/x
  3. Step 3: Cross multiply
    992.44x = 1,369.47 × 572.83
  4. Step 4: Simplify right side
    992.44x = 784,473.50
  5. Step 5: Solve for x
    x = 784,473.50/992.44
  6. Step 6: Final answer
    x = 790.45

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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.