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Finding the Fourth Proportional to 964.71, 1,447.00 and 478.04

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Solution

The fourth proportional to 964.71, 1,447.00 and 478.04 is: 717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.71 : 1,447.00 = 478.04 : x
  2. Step 2: Convert to fraction form
    964.71/1,447.00 = 478.04/x
  3. Step 3: Cross multiply
    964.71x = 1,447.00 × 478.04
  4. Step 4: Simplify right side
    964.71x = 691,715.45
  5. Step 5: Solve for x
    x = 691,715.45/964.71
  6. Step 6: Final answer
    x = 717.02

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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.