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Finding the Fourth Proportional to 1,413.54, 2,119.23 and 643.50

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Solution

The fourth proportional to 1,413.54, 2,119.23 and 643.50 is: 964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.54 : 2,119.23 = 643.50 : x
  2. Step 2: Convert to fraction form
    1,413.54/2,119.23 = 643.50/x
  3. Step 3: Cross multiply
    1,413.54x = 2,119.23 × 643.50
  4. Step 4: Simplify right side
    1,413.54x = 1,363,724.51
  5. Step 5: Solve for x
    x = 1,363,724.51/1,413.54
  6. Step 6: Final answer
    x = 964.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.