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Finding the Fourth Proportional to 730.89, 1,090.33 and 706.19

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Solution

The fourth proportional to 730.89, 1,090.33 and 706.19 is: 1,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.89 : 1,090.33 = 706.19 : x
  2. Step 2: Convert to fraction form
    730.89/1,090.33 = 706.19/x
  3. Step 3: Cross multiply
    730.89x = 1,090.33 × 706.19
  4. Step 4: Simplify right side
    730.89x = 769,972.93
  5. Step 5: Solve for x
    x = 769,972.93/730.89
  6. Step 6: Final answer
    x = 1,053.47

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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.