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Finding the Fourth Proportional to 1,025.17, 1,413.25 and 815.43

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Solution

The fourth proportional to 1,025.17, 1,413.25 and 815.43 is: 1,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.17 : 1,413.25 = 815.43 : x
  2. Step 2: Convert to fraction form
    1,025.17/1,413.25 = 815.43/x
  3. Step 3: Cross multiply
    1,025.17x = 1,413.25 × 815.43
  4. Step 4: Simplify right side
    1,025.17x = 1,152,404.41
  5. Step 5: Solve for x
    x = 1,152,404.41/1,025.17
  6. Step 6: Final answer
    x = 1,124.11

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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.