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Finding the Fourth Proportional to 1,190.98, 1,641.45 and 1,004.95

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Solution

The fourth proportional to 1,190.98, 1,641.45 and 1,004.95 is: 1,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.98 : 1,641.45 = 1,004.95 : x
  2. Step 2: Convert to fraction form
    1,190.98/1,641.45 = 1,004.95/x
  3. Step 3: Cross multiply
    1,190.98x = 1,641.45 × 1,004.95
  4. Step 4: Simplify right side
    1,190.98x = 1,649,575.18
  5. Step 5: Solve for x
    x = 1,649,575.18/1,190.98
  6. Step 6: Final answer
    x = 1,385.06

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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.