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Finding the Fourth Proportional to 964.10, 1,444.26 and 598.34

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Solution

The fourth proportional to 964.10, 1,444.26 and 598.34 is: 896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.10 : 1,444.26 = 598.34 : x
  2. Step 2: Convert to fraction form
    964.10/1,444.26 = 598.34/x
  3. Step 3: Cross multiply
    964.10x = 1,444.26 × 598.34
  4. Step 4: Simplify right side
    964.10x = 864,158.53
  5. Step 5: Solve for x
    x = 864,158.53/964.10
  6. Step 6: Final answer
    x = 896.34

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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.