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Finding the Fourth Proportional to 1,413.48, 1,950.42 and 784.00

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Solution

The fourth proportional to 1,413.48, 1,950.42 and 784.00 is: 1,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.48 : 1,950.42 = 784.00 : x
  2. Step 2: Convert to fraction form
    1,413.48/1,950.42 = 784.00/x
  3. Step 3: Cross multiply
    1,413.48x = 1,950.42 × 784.00
  4. Step 4: Simplify right side
    1,413.48x = 1,529,134.16
  5. Step 5: Solve for x
    x = 1,529,134.16/1,413.48
  6. Step 6: Final answer
    x = 1,081.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.