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Finding the Fourth Proportional to 1,237.40, 1,707.61 and 677.85

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Solution

The fourth proportional to 1,237.40, 1,707.61 and 677.85 is: 935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.40 : 1,707.61 = 677.85 : x
  2. Step 2: Convert to fraction form
    1,237.40/1,707.61 = 677.85/x
  3. Step 3: Cross multiply
    1,237.40x = 1,707.61 × 677.85
  4. Step 4: Simplify right side
    1,237.40x = 1,157,505.03
  5. Step 5: Solve for x
    x = 1,157,505.03/1,237.40
  6. Step 6: Final answer
    x = 935.44

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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.