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Finding the Fourth Proportional to 786.02, 1,085.01 and 523.94

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Solution

The fourth proportional to 786.02, 1,085.01 and 523.94 is: 723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.02 : 1,085.01 = 523.94 : x
  2. Step 2: Convert to fraction form
    786.02/1,085.01 = 523.94/x
  3. Step 3: Cross multiply
    786.02x = 1,085.01 × 523.94
  4. Step 4: Simplify right side
    786.02x = 568,480.14
  5. Step 5: Solve for x
    x = 568,480.14/786.02
  6. Step 6: Final answer
    x = 723.24

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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.