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Finding the Fourth Proportional to 964.61, 1,447.05 and 315.19

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Solution

The fourth proportional to 964.61, 1,447.05 and 315.19 is: 472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.61 : 1,447.05 = 315.19 : x
  2. Step 2: Convert to fraction form
    964.61/1,447.05 = 315.19/x
  3. Step 3: Cross multiply
    964.61x = 1,447.05 × 315.19
  4. Step 4: Simplify right side
    964.61x = 456,095.69
  5. Step 5: Solve for x
    x = 456,095.69/964.61
  6. Step 6: Final answer
    x = 472.83

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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.