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Finding the Fourth Proportional to 914.72, 1,262.21 and 541.71

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Solution

The fourth proportional to 914.72, 1,262.21 and 541.71 is: 747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.72 : 1,262.21 = 541.71 : x
  2. Step 2: Convert to fraction form
    914.72/1,262.21 = 541.71/x
  3. Step 3: Cross multiply
    914.72x = 1,262.21 × 541.71
  4. Step 4: Simplify right side
    914.72x = 683,749.07
  5. Step 5: Solve for x
    x = 683,749.07/914.72
  6. Step 6: Final answer
    x = 747.50

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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.