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Finding the Fourth Proportional to 1,373.14, 2,060.39 and 642.77

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Solution

The fourth proportional to 1,373.14, 2,060.39 and 642.77 is: 964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.14 : 2,060.39 = 642.77 : x
  2. Step 2: Convert to fraction form
    1,373.14/2,060.39 = 642.77/x
  3. Step 3: Cross multiply
    1,373.14x = 2,060.39 × 642.77
  4. Step 4: Simplify right side
    1,373.14x = 1,324,356.88
  5. Step 5: Solve for x
    x = 1,324,356.88/1,373.14
  6. Step 6: Final answer
    x = 964.47

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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.