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Finding the Fourth Proportional to 763.19, 1,144.81 and 324.00

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Solution

The fourth proportional to 763.19, 1,144.81 and 324.00 is: 486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.19 : 1,144.81 = 324.00 : x
  2. Step 2: Convert to fraction form
    763.19/1,144.81 = 324.00/x
  3. Step 3: Cross multiply
    763.19x = 1,144.81 × 324.00
  4. Step 4: Simplify right side
    763.19x = 370,914.55
  5. Step 5: Solve for x
    x = 370,914.55/763.19
  6. Step 6: Final answer
    x = 486.01

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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.