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Finding the Fourth Proportional to 764.71, 1,145.32 and 467.42

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Solution

The fourth proportional to 764.71, 1,145.32 and 467.42 is: 700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.71 : 1,145.32 = 467.42 : x
  2. Step 2: Convert to fraction form
    764.71/1,145.32 = 467.42/x
  3. Step 3: Cross multiply
    764.71x = 1,145.32 × 467.42
  4. Step 4: Simplify right side
    764.71x = 535,338.58
  5. Step 5: Solve for x
    x = 535,338.58/764.71
  6. Step 6: Final answer
    x = 700.06

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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.