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Finding the Fourth Proportional to 1,073.94, 1,610.96 and 488.70

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Solution

The fourth proportional to 1,073.94, 1,610.96 and 488.70 is: 733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.94 : 1,610.96 = 488.70 : x
  2. Step 2: Convert to fraction form
    1,073.94/1,610.96 = 488.70/x
  3. Step 3: Cross multiply
    1,073.94x = 1,610.96 × 488.70
  4. Step 4: Simplify right side
    1,073.94x = 787,276.15
  5. Step 5: Solve for x
    x = 787,276.15/1,073.94
  6. Step 6: Final answer
    x = 733.07

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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.