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Finding the Fourth Proportional to 730.14, 1,006.39 and 564.29

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Solution

The fourth proportional to 730.14, 1,006.39 and 564.29 is: 777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.14 : 1,006.39 = 564.29 : x
  2. Step 2: Convert to fraction form
    730.14/1,006.39 = 564.29/x
  3. Step 3: Cross multiply
    730.14x = 1,006.39 × 564.29
  4. Step 4: Simplify right side
    730.14x = 567,895.81
  5. Step 5: Solve for x
    x = 567,895.81/730.14
  6. Step 6: Final answer
    x = 777.79

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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.