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Finding the Fourth Proportional to 736.74, 1,106.42 and 706.47

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Solution

The fourth proportional to 736.74, 1,106.42 and 706.47 is: 1,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.74 : 1,106.42 = 706.47 : x
  2. Step 2: Convert to fraction form
    736.74/1,106.42 = 706.47/x
  3. Step 3: Cross multiply
    736.74x = 1,106.42 × 706.47
  4. Step 4: Simplify right side
    736.74x = 781,649.01
  5. Step 5: Solve for x
    x = 781,649.01/736.74
  6. Step 6: Final answer
    x = 1,060.96

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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.