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Finding the Fourth Proportional to 749.78, 1,034.55 and 455.18

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Solution

The fourth proportional to 749.78, 1,034.55 and 455.18 is: 628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.78 : 1,034.55 = 455.18 : x
  2. Step 2: Convert to fraction form
    749.78/1,034.55 = 455.18/x
  3. Step 3: Cross multiply
    749.78x = 1,034.55 × 455.18
  4. Step 4: Simplify right side
    749.78x = 470,906.47
  5. Step 5: Solve for x
    x = 470,906.47/749.78
  6. Step 6: Final answer
    x = 628.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.