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Finding the Fourth Proportional to 1,004.31, 1,506.78 and 517.68

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Solution

The fourth proportional to 1,004.31, 1,506.78 and 517.68 is: 776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.31 : 1,506.78 = 517.68 : x
  2. Step 2: Convert to fraction form
    1,004.31/1,506.78 = 517.68/x
  3. Step 3: Cross multiply
    1,004.31x = 1,506.78 × 517.68
  4. Step 4: Simplify right side
    1,004.31x = 780,029.87
  5. Step 5: Solve for x
    x = 780,029.87/1,004.31
  6. Step 6: Final answer
    x = 776.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.