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Finding the Fourth Proportional to 764.53, 1,147.07 and 417.49

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Solution

The fourth proportional to 764.53, 1,147.07 and 417.49 is: 626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.53 : 1,147.07 = 417.49 : x
  2. Step 2: Convert to fraction form
    764.53/1,147.07 = 417.49/x
  3. Step 3: Cross multiply
    764.53x = 1,147.07 × 417.49
  4. Step 4: Simplify right side
    764.53x = 478,888.43
  5. Step 5: Solve for x
    x = 478,888.43/764.53
  6. Step 6: Final answer
    x = 626.38

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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.