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Finding the Fourth Proportional to 964.76, 1,447.14 and 348.46

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Solution

The fourth proportional to 964.76, 1,447.14 and 348.46 is: 522.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.76 : 1,447.14 = 348.46 : x
  2. Step 2: Convert to fraction form
    964.76/1,447.14 = 348.46/x
  3. Step 3: Cross multiply
    964.76x = 1,447.14 × 348.46
  4. Step 4: Simplify right side
    964.76x = 504,276.19
  5. Step 5: Solve for x
    x = 504,276.19/964.76
  6. Step 6: Final answer
    x = 522.70

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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.