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Finding the Fourth Proportional to 1,114.80, 1,667.34 and 910.68

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Solution

The fourth proportional to 1,114.80, 1,667.34 and 910.68 is: 1,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.80 : 1,667.34 = 910.68 : x
  2. Step 2: Convert to fraction form
    1,114.80/1,667.34 = 910.68/x
  3. Step 3: Cross multiply
    1,114.80x = 1,667.34 × 910.68
  4. Step 4: Simplify right side
    1,114.80x = 1,518,413.19
  5. Step 5: Solve for x
    x = 1,518,413.19/1,114.80
  6. Step 6: Final answer
    x = 1,362.05

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