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Finding the Fourth Proportional to 914.01, 1,370.61 and 823.56

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Solution

The fourth proportional to 914.01, 1,370.61 and 823.56 is: 1,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.01 : 1,370.61 = 823.56 : x
  2. Step 2: Convert to fraction form
    914.01/1,370.61 = 823.56/x
  3. Step 3: Cross multiply
    914.01x = 1,370.61 × 823.56
  4. Step 4: Simplify right side
    914.01x = 1,128,779.57
  5. Step 5: Solve for x
    x = 1,128,779.57/914.01
  6. Step 6: Final answer
    x = 1,234.98

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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.