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Finding the Fourth Proportional to 914.78, 1,262.42 and 541.76

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Solution

The fourth proportional to 914.78, 1,262.42 and 541.76 is: 747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.78 : 1,262.42 = 541.76 : x
  2. Step 2: Convert to fraction form
    914.78/1,262.42 = 541.76/x
  3. Step 3: Cross multiply
    914.78x = 1,262.42 × 541.76
  4. Step 4: Simplify right side
    914.78x = 683,919.64
  5. Step 5: Solve for x
    x = 683,919.64/914.78
  6. Step 6: Final answer
    x = 747.63

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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.