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Finding the Fourth Proportional to 786.15, 1,084.19 and 524.43

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Solution

The fourth proportional to 786.15, 1,084.19 and 524.43 is: 723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.15 : 1,084.19 = 524.43 : x
  2. Step 2: Convert to fraction form
    786.15/1,084.19 = 524.43/x
  3. Step 3: Cross multiply
    786.15x = 1,084.19 × 524.43
  4. Step 4: Simplify right side
    786.15x = 568,579.14
  5. Step 5: Solve for x
    x = 568,579.14/786.15
  6. Step 6: Final answer
    x = 723.25

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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.