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Finding the Fourth Proportional to 749.84, 1,034.82 and 455.14

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Solution

The fourth proportional to 749.84, 1,034.82 and 455.14 is: 628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.84 : 1,034.82 = 455.14 : x
  2. Step 2: Convert to fraction form
    749.84/1,034.82 = 455.14/x
  3. Step 3: Cross multiply
    749.84x = 1,034.82 × 455.14
  4. Step 4: Simplify right side
    749.84x = 470,987.97
  5. Step 5: Solve for x
    x = 470,987.97/749.84
  6. Step 6: Final answer
    x = 628.12

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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.