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Finding the Fourth Proportional to 786.91, 1,085.57 and 507.09

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Solution

The fourth proportional to 786.91, 1,085.57 and 507.09 is: 699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.91 : 1,085.57 = 507.09 : x
  2. Step 2: Convert to fraction form
    786.91/1,085.57 = 507.09/x
  3. Step 3: Cross multiply
    786.91x = 1,085.57 × 507.09
  4. Step 4: Simplify right side
    786.91x = 550,481.69
  5. Step 5: Solve for x
    x = 550,481.69/786.91
  6. Step 6: Final answer
    x = 699.55

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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.