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Finding the Fourth Proportional to 1,413.73, 2,117.51 and 681.77

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Solution

The fourth proportional to 1,413.73, 2,117.51 and 681.77 is: 1,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.73 : 2,117.51 = 681.77 : x
  2. Step 2: Convert to fraction form
    1,413.73/2,117.51 = 681.77/x
  3. Step 3: Cross multiply
    1,413.73x = 2,117.51 × 681.77
  4. Step 4: Simplify right side
    1,413.73x = 1,443,653.28
  5. Step 5: Solve for x
    x = 1,443,653.28/1,413.73
  6. Step 6: Final answer
    x = 1,021.17

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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.