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Finding the Fourth Proportional to 627.98, 942.46 and 595.87

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Solution

The fourth proportional to 627.98, 942.46 and 595.87 is: 894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.98 : 942.46 = 595.87 : x
  2. Step 2: Convert to fraction form
    627.98/942.46 = 595.87/x
  3. Step 3: Cross multiply
    627.98x = 942.46 × 595.87
  4. Step 4: Simplify right side
    627.98x = 561,583.64
  5. Step 5: Solve for x
    x = 561,583.64/627.98
  6. Step 6: Final answer
    x = 894.27

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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.