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Finding the Fourth Proportional to 964.10, 1,448.52 and 617.58

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Solution

The fourth proportional to 964.10, 1,448.52 and 617.58 is: 927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.10 : 1,448.52 = 617.58 : x
  2. Step 2: Convert to fraction form
    964.10/1,448.52 = 617.58/x
  3. Step 3: Cross multiply
    964.10x = 1,448.52 × 617.58
  4. Step 4: Simplify right side
    964.10x = 894,576.98
  5. Step 5: Solve for x
    x = 894,576.98/964.10
  6. Step 6: Final answer
    x = 927.89

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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.