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Finding the Fourth Proportional to 764.24, 1,145.44 and 398.37

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Solution

The fourth proportional to 764.24, 1,145.44 and 398.37 is: 597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.24 : 1,145.44 = 398.37 : x
  2. Step 2: Convert to fraction form
    764.24/1,145.44 = 398.37/x
  3. Step 3: Cross multiply
    764.24x = 1,145.44 × 398.37
  4. Step 4: Simplify right side
    764.24x = 456,307.28
  5. Step 5: Solve for x
    x = 456,307.28/764.24
  6. Step 6: Final answer
    x = 597.08

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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.