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Finding the Fourth Proportional to 858.48, 1,183.83 and 734.55

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Solution

The fourth proportional to 858.48, 1,183.83 and 734.55 is: 1,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.48 : 1,183.83 = 734.55 : x
  2. Step 2: Convert to fraction form
    858.48/1,183.83 = 734.55/x
  3. Step 3: Cross multiply
    858.48x = 1,183.83 × 734.55
  4. Step 4: Simplify right side
    858.48x = 869,582.33
  5. Step 5: Solve for x
    x = 869,582.33/858.48
  6. Step 6: Final answer
    x = 1,012.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.