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Finding the Fourth Proportional to 1,237.75, 1,708.08 and 678.23

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Solution

The fourth proportional to 1,237.75, 1,708.08 and 678.23 is: 935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.75 : 1,708.08 = 678.23 : x
  2. Step 2: Convert to fraction form
    1,237.75/1,708.08 = 678.23/x
  3. Step 3: Cross multiply
    1,237.75x = 1,708.08 × 678.23
  4. Step 4: Simplify right side
    1,237.75x = 1,158,471.10
  5. Step 5: Solve for x
    x = 1,158,471.10/1,237.75
  6. Step 6: Final answer
    x = 935.95

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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.