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Finding the Fourth Proportional to 964.10, 1,330.42 and 544.41

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Solution

The fourth proportional to 964.10, 1,330.42 and 544.41 is: 751.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.10 : 1,330.42 = 544.41 : x
  2. Step 2: Convert to fraction form
    964.10/1,330.42 = 544.41/x
  3. Step 3: Cross multiply
    964.10x = 1,330.42 × 544.41
  4. Step 4: Simplify right side
    964.10x = 724,292.59
  5. Step 5: Solve for x
    x = 724,292.59/964.10
  6. Step 6: Final answer
    x = 751.27

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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.