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Finding the Fourth Proportional to 1,025.64, 1,413.70 and 792.36

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Solution

The fourth proportional to 1,025.64, 1,413.70 and 792.36 is: 1,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.64 : 1,413.70 = 792.36 : x
  2. Step 2: Convert to fraction form
    1,025.64/1,413.70 = 792.36/x
  3. Step 3: Cross multiply
    1,025.64x = 1,413.70 × 792.36
  4. Step 4: Simplify right side
    1,025.64x = 1,120,159.33
  5. Step 5: Solve for x
    x = 1,120,159.33/1,025.64
  6. Step 6: Final answer
    x = 1,092.16

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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.