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Finding the Fourth Proportional to 1,413.88, 1,951.23 and 824.38

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Solution

The fourth proportional to 1,413.88, 1,951.23 and 824.38 is: 1,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.88 : 1,951.23 = 824.38 : x
  2. Step 2: Convert to fraction form
    1,413.88/1,951.23 = 824.38/x
  3. Step 3: Cross multiply
    1,413.88x = 1,951.23 × 824.38
  4. Step 4: Simplify right side
    1,413.88x = 1,608,554.99
  5. Step 5: Solve for x
    x = 1,608,554.99/1,413.88
  6. Step 6: Final answer
    x = 1,137.69

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1.5x scale

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.