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Finding the Fourth Proportional to 964.95, 1,447.38 and 348.65

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Solution

The fourth proportional to 964.95, 1,447.38 and 348.65 is: 522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.95 : 1,447.38 = 348.65 : x
  2. Step 2: Convert to fraction form
    964.95/1,447.38 = 348.65/x
  3. Step 3: Cross multiply
    964.95x = 1,447.38 × 348.65
  4. Step 4: Simplify right side
    964.95x = 504,620.06
  5. Step 5: Solve for x
    x = 504,620.06/964.95
  6. Step 6: Final answer
    x = 522.95

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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.