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Finding the Fourth Proportional to 964.41, 1,446.59 and 463.97

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Solution

The fourth proportional to 964.41, 1,446.59 and 463.97 is: 695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.41 : 1,446.59 = 463.97 : x
  2. Step 2: Convert to fraction form
    964.41/1,446.59 = 463.97/x
  3. Step 3: Cross multiply
    964.41x = 1,446.59 × 463.97
  4. Step 4: Simplify right side
    964.41x = 671,174.36
  5. Step 5: Solve for x
    x = 671,174.36/964.41
  6. Step 6: Final answer
    x = 695.94

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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.