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Finding the Fourth Proportional to 670.44, 1,003.50 and 598.44

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Solution

The fourth proportional to 670.44, 1,003.50 and 598.44 is: 895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.44 : 1,003.50 = 598.44 : x
  2. Step 2: Convert to fraction form
    670.44/1,003.50 = 598.44/x
  3. Step 3: Cross multiply
    670.44x = 1,003.50 × 598.44
  4. Step 4: Simplify right side
    670.44x = 600,534.54
  5. Step 5: Solve for x
    x = 600,534.54/670.44
  6. Step 6: Final answer
    x = 895.73

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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.