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Finding the Fourth Proportional to 897.92, 1,346.89 and 586.27

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Solution

The fourth proportional to 897.92, 1,346.89 and 586.27 is: 879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.92 : 1,346.89 = 586.27 : x
  2. Step 2: Convert to fraction form
    897.92/1,346.89 = 586.27/x
  3. Step 3: Cross multiply
    897.92x = 1,346.89 × 586.27
  4. Step 4: Simplify right side
    897.92x = 789,641.20
  5. Step 5: Solve for x
    x = 789,641.20/897.92
  6. Step 6: Final answer
    x = 879.41

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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.