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Finding the Fourth Proportional to 762.44, 1,144.32 and 582.08

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Solution

The fourth proportional to 762.44, 1,144.32 and 582.08 is: 873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.44 : 1,144.32 = 582.08 : x
  2. Step 2: Convert to fraction form
    762.44/1,144.32 = 582.08/x
  3. Step 3: Cross multiply
    762.44x = 1,144.32 × 582.08
  4. Step 4: Simplify right side
    762.44x = 666,085.79
  5. Step 5: Solve for x
    x = 666,085.79/762.44
  6. Step 6: Final answer
    x = 873.62

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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.