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Finding the Fourth Proportional to 1,352.97, 2,029.32 and 475.47

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Solution

The fourth proportional to 1,352.97, 2,029.32 and 475.47 is: 713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.97 : 2,029.32 = 475.47 : x
  2. Step 2: Convert to fraction form
    1,352.97/2,029.32 = 475.47/x
  3. Step 3: Cross multiply
    1,352.97x = 2,029.32 × 475.47
  4. Step 4: Simplify right side
    1,352.97x = 964,880.78
  5. Step 5: Solve for x
    x = 964,880.78/1,352.97
  6. Step 6: Final answer
    x = 713.16

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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.