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Finding the Fourth Proportional to 786.05, 1,085.21 and 491.72

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Solution

The fourth proportional to 786.05, 1,085.21 and 491.72 is: 678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.05 : 1,085.21 = 491.72 : x
  2. Step 2: Convert to fraction form
    786.05/1,085.21 = 491.72/x
  3. Step 3: Cross multiply
    786.05x = 1,085.21 × 491.72
  4. Step 4: Simplify right side
    786.05x = 533,611.58
  5. Step 5: Solve for x
    x = 533,611.58/786.05
  6. Step 6: Final answer
    x = 678.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.