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Finding the Fourth Proportional to 786.85, 1,085.81 and 492.01

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Solution

The fourth proportional to 786.85, 1,085.81 and 492.01 is: 678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.85 : 1,085.81 = 492.01 : x
  2. Step 2: Convert to fraction form
    786.85/1,085.81 = 492.01/x
  3. Step 3: Cross multiply
    786.85x = 1,085.81 × 492.01
  4. Step 4: Simplify right side
    786.85x = 534,224.20
  5. Step 5: Solve for x
    x = 534,224.20/786.85
  6. Step 6: Final answer
    x = 678.94

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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.