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Finding the Fourth Proportional to 734.34, 1,013.22 and 512.94

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Solution

The fourth proportional to 734.34, 1,013.22 and 512.94 is: 707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.34 : 1,013.22 = 512.94 : x
  2. Step 2: Convert to fraction form
    734.34/1,013.22 = 512.94/x
  3. Step 3: Cross multiply
    734.34x = 1,013.22 × 512.94
  4. Step 4: Simplify right side
    734.34x = 519,721.07
  5. Step 5: Solve for x
    x = 519,721.07/734.34
  6. Step 6: Final answer
    x = 707.74

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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.