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Finding the Fourth Proportional to 764.03, 1,145.01 and 416.84

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Solution

The fourth proportional to 764.03, 1,145.01 and 416.84 is: 624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.03 : 1,145.01 = 416.84 : x
  2. Step 2: Convert to fraction form
    764.03/1,145.01 = 416.84/x
  3. Step 3: Cross multiply
    764.03x = 1,145.01 × 416.84
  4. Step 4: Simplify right side
    764.03x = 477,288.25
  5. Step 5: Solve for x
    x = 477,288.25/764.03
  6. Step 6: Final answer
    x = 624.70

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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.