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Finding the Fourth Proportional to 763.98, 1,143.36 and 486.20

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Solution

The fourth proportional to 763.98, 1,143.36 and 486.20 is: 727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.98 : 1,143.36 = 486.20 : x
  2. Step 2: Convert to fraction form
    763.98/1,143.36 = 486.20/x
  3. Step 3: Cross multiply
    763.98x = 1,143.36 × 486.20
  4. Step 4: Simplify right side
    763.98x = 555,901.63
  5. Step 5: Solve for x
    x = 555,901.63/763.98
  6. Step 6: Final answer
    x = 727.64

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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.