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Finding the Fourth Proportional to 763.56, 1,144.29 and 416.37

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Solution

The fourth proportional to 763.56, 1,144.29 and 416.37 is: 623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.56 : 1,144.29 = 416.37 : x
  2. Step 2: Convert to fraction form
    763.56/1,144.29 = 416.37/x
  3. Step 3: Cross multiply
    763.56x = 1,144.29 × 416.37
  4. Step 4: Simplify right side
    763.56x = 476,448.03
  5. Step 5: Solve for x
    x = 476,448.03/763.56
  6. Step 6: Final answer
    x = 623.98

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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.