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Finding the Fourth Proportional to 964.04, 1,446.05 and 386.92

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Solution

The fourth proportional to 964.04, 1,446.05 and 386.92 is: 580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.04 : 1,446.05 = 386.92 : x
  2. Step 2: Convert to fraction form
    964.04/1,446.05 = 386.92/x
  3. Step 3: Cross multiply
    964.04x = 1,446.05 × 386.92
  4. Step 4: Simplify right side
    964.04x = 559,503.02
  5. Step 5: Solve for x
    x = 559,503.02/964.04
  6. Step 6: Final answer
    x = 580.37

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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.