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Finding the Fourth Proportional to 1,413.49, 1,950.58 and 784.02

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Solution

The fourth proportional to 1,413.49, 1,950.58 and 784.02 is: 1,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.49 : 1,950.58 = 784.02 : x
  2. Step 2: Convert to fraction form
    1,413.49/1,950.58 = 784.02/x
  3. Step 3: Cross multiply
    1,413.49x = 1,950.58 × 784.02
  4. Step 4: Simplify right side
    1,413.49x = 1,529,293.73
  5. Step 5: Solve for x
    x = 1,529,293.73/1,413.49
  6. Step 6: Final answer
    x = 1,081.93

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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.