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Finding the Fourth Proportional to 763.53, 1,145.28 and 579.56

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Solution

The fourth proportional to 763.53, 1,145.28 and 579.56 is: 869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.53 : 1,145.28 = 579.56 : x
  2. Step 2: Convert to fraction form
    763.53/1,145.28 = 579.56/x
  3. Step 3: Cross multiply
    763.53x = 1,145.28 × 579.56
  4. Step 4: Simplify right side
    763.53x = 663,751.66
  5. Step 5: Solve for x
    x = 663,751.66/763.53
  6. Step 6: Final answer
    x = 869.32

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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.