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Finding the Fourth Proportional to 786.29, 1,179.33 and 457.39

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Solution

The fourth proportional to 786.29, 1,179.33 and 457.39 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.29 : 1,179.33 = 457.39 : x
  2. Step 2: Convert to fraction form
    786.29/1,179.33 = 457.39/x
  3. Step 3: Cross multiply
    786.29x = 1,179.33 × 457.39
  4. Step 4: Simplify right side
    786.29x = 539,413.64
  5. Step 5: Solve for x
    x = 539,413.64/786.29
  6. Step 6: Final answer
    x = 686.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.