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Finding the Fourth Proportional to 964.09, 1,445.87 and 270.71

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Solution

The fourth proportional to 964.09, 1,445.87 and 270.71 is: 405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.09 : 1,445.87 = 270.71 : x
  2. Step 2: Convert to fraction form
    964.09/1,445.87 = 270.71/x
  3. Step 3: Cross multiply
    964.09x = 1,445.87 × 270.71
  4. Step 4: Simplify right side
    964.09x = 391,411.47
  5. Step 5: Solve for x
    x = 391,411.47/964.09
  6. Step 6: Final answer
    x = 405.99

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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.