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Finding the Fourth Proportional to 763.34, 1,144.91 and 341.24

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Solution

The fourth proportional to 763.34, 1,144.91 and 341.24 is: 511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.34 : 1,144.91 = 341.24 : x
  2. Step 2: Convert to fraction form
    763.34/1,144.91 = 341.24/x
  3. Step 3: Cross multiply
    763.34x = 1,144.91 × 341.24
  4. Step 4: Simplify right side
    763.34x = 390,684.22
  5. Step 5: Solve for x
    x = 390,684.22/763.34
  6. Step 6: Final answer
    x = 511.81

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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.