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Finding the Fourth Proportional to 964.25, 1,445.32 and 495.07

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Solution

The fourth proportional to 964.25, 1,445.32 and 495.07 is: 742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.25 : 1,445.32 = 495.07 : x
  2. Step 2: Convert to fraction form
    964.25/1,445.32 = 495.07/x
  3. Step 3: Cross multiply
    964.25x = 1,445.32 × 495.07
  4. Step 4: Simplify right side
    964.25x = 715,527.35
  5. Step 5: Solve for x
    x = 715,527.35/964.25
  6. Step 6: Final answer
    x = 742.06

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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.