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Finding the Fourth Proportional to 1,413.66, 1,950.03 and 824.13

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Solution

The fourth proportional to 1,413.66, 1,950.03 and 824.13 is: 1,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.66 : 1,950.03 = 824.13 : x
  2. Step 2: Convert to fraction form
    1,413.66/1,950.03 = 824.13/x
  3. Step 3: Cross multiply
    1,413.66x = 1,950.03 × 824.13
  4. Step 4: Simplify right side
    1,413.66x = 1,607,078.22
  5. Step 5: Solve for x
    x = 1,607,078.22/1,413.66
  6. Step 6: Final answer
    x = 1,136.82

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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.