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Finding the Fourth Proportional to 714.92, 1,072.74 and 541.53

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Solution

The fourth proportional to 714.92, 1,072.74 and 541.53 is: 812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.92 : 1,072.74 = 541.53 : x
  2. Step 2: Convert to fraction form
    714.92/1,072.74 = 541.53/x
  3. Step 3: Cross multiply
    714.92x = 1,072.74 × 541.53
  4. Step 4: Simplify right side
    714.92x = 580,920.89
  5. Step 5: Solve for x
    x = 580,920.89/714.92
  6. Step 6: Final answer
    x = 812.57

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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.