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Finding the Fourth Proportional to 1,402.53, 1,935.05 and 842.73

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Solution

The fourth proportional to 1,402.53, 1,935.05 and 842.73 is: 1,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.53 : 1,935.05 = 842.73 : x
  2. Step 2: Convert to fraction form
    1,402.53/1,935.05 = 842.73/x
  3. Step 3: Cross multiply
    1,402.53x = 1,935.05 × 842.73
  4. Step 4: Simplify right side
    1,402.53x = 1,630,724.69
  5. Step 5: Solve for x
    x = 1,630,724.69/1,402.53
  6. Step 6: Final answer
    x = 1,162.70

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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.