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Finding the Fourth Proportional to 975.15, 1,344.27 and 601.83

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Solution

The fourth proportional to 975.15, 1,344.27 and 601.83 is: 829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.15 : 1,344.27 = 601.83 : x
  2. Step 2: Convert to fraction form
    975.15/1,344.27 = 601.83/x
  3. Step 3: Cross multiply
    975.15x = 1,344.27 × 601.83
  4. Step 4: Simplify right side
    975.15x = 809,022.01
  5. Step 5: Solve for x
    x = 809,022.01/975.15
  6. Step 6: Final answer
    x = 829.64

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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.