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Finding the Fourth Proportional to 786.74, 1,085.82 and 491.85

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Solution

The fourth proportional to 786.74, 1,085.82 and 491.85 is: 678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.74 : 1,085.82 = 491.85 : x
  2. Step 2: Convert to fraction form
    786.74/1,085.82 = 491.85/x
  3. Step 3: Cross multiply
    786.74x = 1,085.82 × 491.85
  4. Step 4: Simplify right side
    786.74x = 534,060.57
  5. Step 5: Solve for x
    x = 534,060.57/786.74
  6. Step 6: Final answer
    x = 678.83

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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.