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Finding the Fourth Proportional to 968.52, 1,453.66 and 506.60

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Solution

The fourth proportional to 968.52, 1,453.66 and 506.60 is: 760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.52 : 1,453.66 = 506.60 : x
  2. Step 2: Convert to fraction form
    968.52/1,453.66 = 506.60/x
  3. Step 3: Cross multiply
    968.52x = 1,453.66 × 506.60
  4. Step 4: Simplify right side
    968.52x = 736,424.16
  5. Step 5: Solve for x
    x = 736,424.16/968.52
  6. Step 6: Final answer
    x = 760.36

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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.