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Finding the Fourth Proportional to 674.03, 1,005.19 and 599.37

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Solution

The fourth proportional to 674.03, 1,005.19 and 599.37 is: 893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.03 : 1,005.19 = 599.37 : x
  2. Step 2: Convert to fraction form
    674.03/1,005.19 = 599.37/x
  3. Step 3: Cross multiply
    674.03x = 1,005.19 × 599.37
  4. Step 4: Simplify right side
    674.03x = 602,476.22
  5. Step 5: Solve for x
    x = 602,476.22/674.03
  6. Step 6: Final answer
    x = 893.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.