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Finding the Fourth Proportional to 764.64, 1,145.49 and 471.28

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Solution

The fourth proportional to 764.64, 1,145.49 and 471.28 is: 706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,145.49 = 471.28 : x
  2. Step 2: Convert to fraction form
    764.64/1,145.49 = 471.28/x
  3. Step 3: Cross multiply
    764.64x = 1,145.49 × 471.28
  4. Step 4: Simplify right side
    764.64x = 539,846.69
  5. Step 5: Solve for x
    x = 539,846.69/764.64
  6. Step 6: Final answer
    x = 706.01

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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.