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Finding the Fourth Proportional to 1,188.98, 1,640.46 and 1,031.36

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Solution

The fourth proportional to 1,188.98, 1,640.46 and 1,031.36 is: 1,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.98 : 1,640.46 = 1,031.36 : x
  2. Step 2: Convert to fraction form
    1,188.98/1,640.46 = 1,031.36/x
  3. Step 3: Cross multiply
    1,188.98x = 1,640.46 × 1,031.36
  4. Step 4: Simplify right side
    1,188.98x = 1,691,908.93
  5. Step 5: Solve for x
    x = 1,691,908.93/1,188.98
  6. Step 6: Final answer
    x = 1,423.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.