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Finding the Fourth Proportional to 1,413.61, 1,950.62 and 816.01

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Solution

The fourth proportional to 1,413.61, 1,950.62 and 816.01 is: 1,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.61 : 1,950.62 = 816.01 : x
  2. Step 2: Convert to fraction form
    1,413.61/1,950.62 = 816.01/x
  3. Step 3: Cross multiply
    1,413.61x = 1,950.62 × 816.01
  4. Step 4: Simplify right side
    1,413.61x = 1,591,716.47
  5. Step 5: Solve for x
    x = 1,591,716.47/1,413.61
  6. Step 6: Final answer
    x = 1,126.00

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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.