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Finding the Fourth Proportional to 1,413.39, 1,949.29 and 909.32

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Solution

The fourth proportional to 1,413.39, 1,949.29 and 909.32 is: 1,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.39 : 1,949.29 = 909.32 : x
  2. Step 2: Convert to fraction form
    1,413.39/1,949.29 = 909.32/x
  3. Step 3: Cross multiply
    1,413.39x = 1,949.29 × 909.32
  4. Step 4: Simplify right side
    1,413.39x = 1,772,530.98
  5. Step 5: Solve for x
    x = 1,772,530.98/1,413.39
  6. Step 6: Final answer
    x = 1,254.10

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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.