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Finding the Fourth Proportional to 974.59, 1,344.56 and 601.36

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Solution

The fourth proportional to 974.59, 1,344.56 and 601.36 is: 829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.59 : 1,344.56 = 601.36 : x
  2. Step 2: Convert to fraction form
    974.59/1,344.56 = 601.36/x
  3. Step 3: Cross multiply
    974.59x = 1,344.56 × 601.36
  4. Step 4: Simplify right side
    974.59x = 808,558.23
  5. Step 5: Solve for x
    x = 808,558.23/974.59
  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.