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Finding the Fourth Proportional to 964.24, 1,444.56 and 477.20

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Solution

The fourth proportional to 964.24, 1,444.56 and 477.20 is: 714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.24 : 1,444.56 = 477.20 : x
  2. Step 2: Convert to fraction form
    964.24/1,444.56 = 477.20/x
  3. Step 3: Cross multiply
    964.24x = 1,444.56 × 477.20
  4. Step 4: Simplify right side
    964.24x = 689,344.03
  5. Step 5: Solve for x
    x = 689,344.03/964.24
  6. Step 6: Final answer
    x = 714.91

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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.