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Finding the Fourth Proportional to 764.40, 1,146.84 and 456.60

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Solution

The fourth proportional to 764.40, 1,146.84 and 456.60 is: 685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.40 : 1,146.84 = 456.60 : x
  2. Step 2: Convert to fraction form
    764.40/1,146.84 = 456.60/x
  3. Step 3: Cross multiply
    764.40x = 1,146.84 × 456.60
  4. Step 4: Simplify right side
    764.40x = 523,647.14
  5. Step 5: Solve for x
    x = 523,647.14/764.40
  6. Step 6: Final answer
    x = 685.04

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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.