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Finding the Fourth Proportional to 993.24, 1,492.29 and 937.98

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Solution

The fourth proportional to 993.24, 1,492.29 and 937.98 is: 1,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.24 : 1,492.29 = 937.98 : x
  2. Step 2: Convert to fraction form
    993.24/1,492.29 = 937.98/x
  3. Step 3: Cross multiply
    993.24x = 1,492.29 × 937.98
  4. Step 4: Simplify right side
    993.24x = 1,399,738.17
  5. Step 5: Solve for x
    x = 1,399,738.17/993.24
  6. Step 6: Final answer
    x = 1,409.26

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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.