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Finding the Fourth Proportional to 964.46, 1,329.57 and 649.17

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Solution

The fourth proportional to 964.46, 1,329.57 and 649.17 is: 894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.46 : 1,329.57 = 649.17 : x
  2. Step 2: Convert to fraction form
    964.46/1,329.57 = 649.17/x
  3. Step 3: Cross multiply
    964.46x = 1,329.57 × 649.17
  4. Step 4: Simplify right side
    964.46x = 863,116.96
  5. Step 5: Solve for x
    x = 863,116.96/964.46
  6. Step 6: Final answer
    x = 894.92

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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.