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Finding the Fourth Proportional to 734.01, 1,011.23 and 512.61

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Solution

The fourth proportional to 734.01, 1,011.23 and 512.61 is: 706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.01 : 1,011.23 = 512.61 : x
  2. Step 2: Convert to fraction form
    734.01/1,011.23 = 512.61/x
  3. Step 3: Cross multiply
    734.01x = 1,011.23 × 512.61
  4. Step 4: Simplify right side
    734.01x = 518,358.99
  5. Step 5: Solve for x
    x = 518,358.99/734.01
  6. Step 6: Final answer
    x = 706.21

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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.