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Finding the Fourth Proportional to 1,413.70, 1,950.91 and 824.12

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Solution

The fourth proportional to 1,413.70, 1,950.91 and 824.12 is: 1,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.70 : 1,950.91 = 824.12 : x
  2. Step 2: Convert to fraction form
    1,413.70/1,950.91 = 824.12/x
  3. Step 3: Cross multiply
    1,413.70x = 1,950.91 × 824.12
  4. Step 4: Simplify right side
    1,413.70x = 1,607,792.74
  5. Step 5: Solve for x
    x = 1,607,792.74/1,413.70
  6. Step 6: Final answer
    x = 1,137.29

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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.