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Finding the Fourth Proportional to 1,413.13, 1,950.03 and 830.56

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Solution

The fourth proportional to 1,413.13, 1,950.03 and 830.56 is: 1,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.13 : 1,950.03 = 830.56 : x
  2. Step 2: Convert to fraction form
    1,413.13/1,950.03 = 830.56/x
  3. Step 3: Cross multiply
    1,413.13x = 1,950.03 × 830.56
  4. Step 4: Simplify right side
    1,413.13x = 1,619,616.92
  5. Step 5: Solve for x
    x = 1,619,616.92/1,413.13
  6. Step 6: Final answer
    x = 1,146.12

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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.