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Finding the Fourth Proportional to 1,040.14, 1,433.77 and 708

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Solution

The fourth proportional to 1,040.14, 1,433.77 and 708 is: 975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.14 : 1,433.77 = 708 : x
  2. Step 2: Convert to fraction form
    1,040.14/1,433.77 = 708/x
  3. Step 3: Cross multiply
    1,040.14x = 1,433.77 × 708
  4. Step 4: Simplify right side
    1,040.14x = 1,015,109.16
  5. Step 5: Solve for x
    x = 1,015,109.16/1,040.14
  6. Step 6: Final answer
    x = 975.94

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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.