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Finding the Fourth Proportional to 964.44, 1,445.04 and 598.32

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Solution

The fourth proportional to 964.44, 1,445.04 and 598.32 is: 896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.44 : 1,445.04 = 598.32 : x
  2. Step 2: Convert to fraction form
    964.44/1,445.04 = 598.32/x
  3. Step 3: Cross multiply
    964.44x = 1,445.04 × 598.32
  4. Step 4: Simplify right side
    964.44x = 864,596.33
  5. Step 5: Solve for x
    x = 864,596.33/964.44
  6. Step 6: Final answer
    x = 896.47

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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.