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Finding the Fourth Proportional to 914.75, 1,372.13 and 585.86

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Solution

The fourth proportional to 914.75, 1,372.13 and 585.86 is: 878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.75 : 1,372.13 = 585.86 : x
  2. Step 2: Convert to fraction form
    914.75/1,372.13 = 585.86/x
  3. Step 3: Cross multiply
    914.75x = 1,372.13 × 585.86
  4. Step 4: Simplify right side
    914.75x = 803,866.29
  5. Step 5: Solve for x
    x = 803,866.29/914.75
  6. Step 6: Final answer
    x = 878.78

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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.