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Finding the Fourth Proportional to 735.71, 1,097.97 and 705.94

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Solution

The fourth proportional to 735.71, 1,097.97 and 705.94 is: 1,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.71 : 1,097.97 = 705.94 : x
  2. Step 2: Convert to fraction form
    735.71/1,097.97 = 705.94/x
  3. Step 3: Cross multiply
    735.71x = 1,097.97 × 705.94
  4. Step 4: Simplify right side
    735.71x = 775,091.92
  5. Step 5: Solve for x
    x = 775,091.92/735.71
  6. Step 6: Final answer
    x = 1,053.53

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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.