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Finding the Fourth Proportional to 730.62, 1,006.56 and 506.34

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Solution

The fourth proportional to 730.62, 1,006.56 and 506.34 is: 697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.62 : 1,006.56 = 506.34 : x
  2. Step 2: Convert to fraction form
    730.62/1,006.56 = 506.34/x
  3. Step 3: Cross multiply
    730.62x = 1,006.56 × 506.34
  4. Step 4: Simplify right side
    730.62x = 509,661.59
  5. Step 5: Solve for x
    x = 509,661.59/730.62
  6. Step 6: Final answer
    x = 697.57

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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.