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Finding the Fourth Proportional to 964.61, 1,329.92 and 649.42

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Solution

The fourth proportional to 964.61, 1,329.92 and 649.42 is: 895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.61 : 1,329.92 = 649.42 : x
  2. Step 2: Convert to fraction form
    964.61/1,329.92 = 649.42/x
  3. Step 3: Cross multiply
    964.61x = 1,329.92 × 649.42
  4. Step 4: Simplify right side
    964.61x = 863,672.51
  5. Step 5: Solve for x
    x = 863,672.51/964.61
  6. Step 6: Final answer
    x = 895.36

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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.