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Finding the Fourth Proportional to 792.69, 1,188.06 and 561.65

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Solution

The fourth proportional to 792.69, 1,188.06 and 561.65 is: 841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.69 : 1,188.06 = 561.65 : x
  2. Step 2: Convert to fraction form
    792.69/1,188.06 = 561.65/x
  3. Step 3: Cross multiply
    792.69x = 1,188.06 × 561.65
  4. Step 4: Simplify right side
    792.69x = 667,267.96
  5. Step 5: Solve for x
    x = 667,267.96/792.69
  6. Step 6: Final answer
    x = 841.78

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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.