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Finding the Fourth Proportional to 1,025.16, 1,413.16 and 845.96

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Solution

The fourth proportional to 1,025.16, 1,413.16 and 845.96 is: 1,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.16 : 1,413.16 = 845.96 : x
  2. Step 2: Convert to fraction form
    1,025.16/1,413.16 = 845.96/x
  3. Step 3: Cross multiply
    1,025.16x = 1,413.16 × 845.96
  4. Step 4: Simplify right side
    1,025.16x = 1,195,476.83
  5. Step 5: Solve for x
    x = 1,195,476.83/1,025.16
  6. Step 6: Final answer
    x = 1,166.14

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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.