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Finding the Fourth Proportional to 1,413.79, 1,951.34 and 824.66

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Solution

The fourth proportional to 1,413.79, 1,951.34 and 824.66 is: 1,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.79 : 1,951.34 = 824.66 : x
  2. Step 2: Convert to fraction form
    1,413.79/1,951.34 = 824.66/x
  3. Step 3: Cross multiply
    1,413.79x = 1,951.34 × 824.66
  4. Step 4: Simplify right side
    1,413.79x = 1,609,192.04
  5. Step 5: Solve for x
    x = 1,609,192.04/1,413.79
  6. Step 6: Final answer
    x = 1,138.21

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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.