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Finding the Fourth Proportional to 856.03, 1,288.72 and 583.85

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Solution

The fourth proportional to 856.03, 1,288.72 and 583.85 is: 878.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.03 : 1,288.72 = 583.85 : x
  2. Step 2: Convert to fraction form
    856.03/1,288.72 = 583.85/x
  3. Step 3: Cross multiply
    856.03x = 1,288.72 × 583.85
  4. Step 4: Simplify right side
    856.03x = 752,411.27
  5. Step 5: Solve for x
    x = 752,411.27/856.03
  6. Step 6: Final answer
    x = 878.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.