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Finding the Fourth Proportional to 764.80, 1,146.08 and 456.72

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Solution

The fourth proportional to 764.80, 1,146.08 and 456.72 is: 684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.80 : 1,146.08 = 456.72 : x
  2. Step 2: Convert to fraction form
    764.80/1,146.08 = 456.72/x
  3. Step 3: Cross multiply
    764.80x = 1,146.08 × 456.72
  4. Step 4: Simplify right side
    764.80x = 523,437.66
  5. Step 5: Solve for x
    x = 523,437.66/764.80
  6. Step 6: Final answer
    x = 684.41

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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.