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Finding the Fourth Proportional to 1,413.84, 1,952.25 and 917.32

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Solution

The fourth proportional to 1,413.84, 1,952.25 and 917.32 is: 1,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.84 : 1,952.25 = 917.32 : x
  2. Step 2: Convert to fraction form
    1,413.84/1,952.25 = 917.32/x
  3. Step 3: Cross multiply
    1,413.84x = 1,952.25 × 917.32
  4. Step 4: Simplify right side
    1,413.84x = 1,790,837.97
  5. Step 5: Solve for x
    x = 1,790,837.97/1,413.84
  6. Step 6: Final answer
    x = 1,266.65

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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.