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Finding the Fourth Proportional to 764.10, 1,145.48 and 456.08

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Solution

The fourth proportional to 764.10, 1,145.48 and 456.08 is: 683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.10 : 1,145.48 = 456.08 : x
  2. Step 2: Convert to fraction form
    764.10/1,145.48 = 456.08/x
  3. Step 3: Cross multiply
    764.10x = 1,145.48 × 456.08
  4. Step 4: Simplify right side
    764.10x = 522,422.51
  5. Step 5: Solve for x
    x = 522,422.51/764.10
  6. Step 6: Final answer
    x = 683.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.