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Finding the Fourth Proportional to 964.17, 1,445.02 and 444.05

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Solution

The fourth proportional to 964.17, 1,445.02 and 444.05 is: 665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.17 : 1,445.02 = 444.05 : x
  2. Step 2: Convert to fraction form
    964.17/1,445.02 = 444.05/x
  3. Step 3: Cross multiply
    964.17x = 1,445.02 × 444.05
  4. Step 4: Simplify right side
    964.17x = 641,661.13
  5. Step 5: Solve for x
    x = 641,661.13/964.17
  6. Step 6: Final answer
    x = 665.51

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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.