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Finding the Fourth Proportional to 1,402.59, 1,935.25 and 842.88

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Solution

The fourth proportional to 1,402.59, 1,935.25 and 842.88 is: 1,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.59 : 1,935.25 = 842.88 : x
  2. Step 2: Convert to fraction form
    1,402.59/1,935.25 = 842.88/x
  3. Step 3: Cross multiply
    1,402.59x = 1,935.25 × 842.88
  4. Step 4: Simplify right side
    1,402.59x = 1,631,183.52
  5. Step 5: Solve for x
    x = 1,631,183.52/1,402.59
  6. Step 6: Final answer
    x = 1,162.98

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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.