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Finding the Fourth Proportional to 707.81, 976.11 and 532.85

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Solution

The fourth proportional to 707.81, 976.11 and 532.85 is: 734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.81 : 976.11 = 532.85 : x
  2. Step 2: Convert to fraction form
    707.81/976.11 = 532.85/x
  3. Step 3: Cross multiply
    707.81x = 976.11 × 532.85
  4. Step 4: Simplify right side
    707.81x = 520,120.21
  5. Step 5: Solve for x
    x = 520,120.21/707.81
  6. Step 6: Final answer
    x = 734.83

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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.