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Finding the Fourth Proportional to 1,413.38, 1,949.63 and 909.15

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Solution

The fourth proportional to 1,413.38, 1,949.63 and 909.15 is: 1,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.38 : 1,949.63 = 909.15 : x
  2. Step 2: Convert to fraction form
    1,413.38/1,949.63 = 909.15/x
  3. Step 3: Cross multiply
    1,413.38x = 1,949.63 × 909.15
  4. Step 4: Simplify right side
    1,413.38x = 1,772,506.11
  5. Step 5: Solve for x
    x = 1,772,506.11/1,413.38
  6. Step 6: Final answer
    x = 1,254.09

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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.