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Finding the Fourth Proportional to 962.46, 1,441.86 and 474.94

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Solution

The fourth proportional to 962.46, 1,441.86 and 474.94 is: 711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.46 : 1,441.86 = 474.94 : x
  2. Step 2: Convert to fraction form
    962.46/1,441.86 = 474.94/x
  3. Step 3: Cross multiply
    962.46x = 1,441.86 × 474.94
  4. Step 4: Simplify right side
    962.46x = 684,796.99
  5. Step 5: Solve for x
    x = 684,796.99/962.46
  6. Step 6: Final answer
    x = 711.51

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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.