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Finding the Fourth Proportional to 914.92, 1,372.76 and 586.23

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Solution

The fourth proportional to 914.92, 1,372.76 and 586.23 is: 879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.92 : 1,372.76 = 586.23 : x
  2. Step 2: Convert to fraction form
    914.92/1,372.76 = 586.23/x
  3. Step 3: Cross multiply
    914.92x = 1,372.76 × 586.23
  4. Step 4: Simplify right side
    914.92x = 804,751.90
  5. Step 5: Solve for x
    x = 804,751.90/914.92
  6. Step 6: Final answer
    x = 879.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.