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Finding the Fourth Proportional to 992.81, 1,488.08 and 771.79

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Solution

The fourth proportional to 992.81, 1,488.08 and 771.79 is: 1,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.81 : 1,488.08 = 771.79 : x
  2. Step 2: Convert to fraction form
    992.81/1,488.08 = 771.79/x
  3. Step 3: Cross multiply
    992.81x = 1,488.08 × 771.79
  4. Step 4: Simplify right side
    992.81x = 1,148,485.26
  5. Step 5: Solve for x
    x = 1,148,485.26/992.81
  6. Step 6: Final answer
    x = 1,156.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.