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Finding the Fourth Proportional to 786.03, 1,085.13 and 506.43

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Solution

The fourth proportional to 786.03, 1,085.13 and 506.43 is: 699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.03 : 1,085.13 = 506.43 : x
  2. Step 2: Convert to fraction form
    786.03/1,085.13 = 506.43/x
  3. Step 3: Cross multiply
    786.03x = 1,085.13 × 506.43
  4. Step 4: Simplify right side
    786.03x = 549,542.39
  5. Step 5: Solve for x
    x = 549,542.39/786.03
  6. Step 6: Final answer
    x = 699.14

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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.