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Finding the Fourth Proportional to 786.09, 1,085.09 and 524.13

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Solution

The fourth proportional to 786.09, 1,085.09 and 524.13 is: 723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.09 : 1,085.09 = 524.13 : x
  2. Step 2: Convert to fraction form
    786.09/1,085.09 = 524.13/x
  3. Step 3: Cross multiply
    786.09x = 1,085.09 × 524.13
  4. Step 4: Simplify right side
    786.09x = 568,728.22
  5. Step 5: Solve for x
    x = 568,728.22/786.09
  6. Step 6: Final answer
    x = 723.49

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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.