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Finding the Fourth Proportional to 1,413.18, 2,119.06 and 591.24

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Solution

The fourth proportional to 1,413.18, 2,119.06 and 591.24 is: 886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.18 : 2,119.06 = 591.24 : x
  2. Step 2: Convert to fraction form
    1,413.18/2,119.06 = 591.24/x
  3. Step 3: Cross multiply
    1,413.18x = 2,119.06 × 591.24
  4. Step 4: Simplify right side
    1,413.18x = 1,252,873.03
  5. Step 5: Solve for x
    x = 1,252,873.03/1,413.18
  6. Step 6: Final answer
    x = 886.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.