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Finding the Fourth Proportional to 1,413.95, 1,951.26 and 784.51

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Solution

The fourth proportional to 1,413.95, 1,951.26 and 784.51 is: 1,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.95 : 1,951.26 = 784.51 : x
  2. Step 2: Convert to fraction form
    1,413.95/1,951.26 = 784.51/x
  3. Step 3: Cross multiply
    1,413.95x = 1,951.26 × 784.51
  4. Step 4: Simplify right side
    1,413.95x = 1,530,787.23
  5. Step 5: Solve for x
    x = 1,530,787.23/1,413.95
  6. Step 6: Final answer
    x = 1,082.64

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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.