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Finding the Fourth Proportional to 964.42, 1,331.54 and 650.04

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Solution

The fourth proportional to 964.42, 1,331.54 and 650.04 is: 897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.42 : 1,331.54 = 650.04 : x
  2. Step 2: Convert to fraction form
    964.42/1,331.54 = 650.04/x
  3. Step 3: Cross multiply
    964.42x = 1,331.54 × 650.04
  4. Step 4: Simplify right side
    964.42x = 865,554.26
  5. Step 5: Solve for x
    x = 865,554.26/964.42
  6. Step 6: Final answer
    x = 897.49

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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.