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Finding the Fourth Proportional to 1,025.36, 1,413.88 and 762.64

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Solution

The fourth proportional to 1,025.36, 1,413.88 and 762.64 is: 1,051.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.36 : 1,413.88 = 762.64 : x
  2. Step 2: Convert to fraction form
    1,025.36/1,413.88 = 762.64/x
  3. Step 3: Cross multiply
    1,025.36x = 1,413.88 × 762.64
  4. Step 4: Simplify right side
    1,025.36x = 1,078,281.44
  5. Step 5: Solve for x
    x = 1,078,281.44/1,025.36
  6. Step 6: Final answer
    x = 1,051.61

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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.