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Finding the Fourth Proportional to 735.57, 1,096.70 and 716.63

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Solution

The fourth proportional to 735.57, 1,096.70 and 716.63 is: 1,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.57 : 1,096.70 = 716.63 : x
  2. Step 2: Convert to fraction form
    735.57/1,096.70 = 716.63/x
  3. Step 3: Cross multiply
    735.57x = 1,096.70 × 716.63
  4. Step 4: Simplify right side
    735.57x = 785,919.05
  5. Step 5: Solve for x
    x = 785,919.05/735.57
  6. Step 6: Final answer
    x = 1,068.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.