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Finding the Fourth Proportional to 1,144.95, 1,580.01 and 620.97

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Solution

The fourth proportional to 1,144.95, 1,580.01 and 620.97 is: 856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.95 : 1,580.01 = 620.97 : x
  2. Step 2: Convert to fraction form
    1,144.95/1,580.01 = 620.97/x
  3. Step 3: Cross multiply
    1,144.95x = 1,580.01 × 620.97
  4. Step 4: Simplify right side
    1,144.95x = 981,138.81
  5. Step 5: Solve for x
    x = 981,138.81/1,144.95
  6. Step 6: Final answer
    x = 856.93

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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.