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Finding the Fourth Proportional to 1,218.40, 1,825.17 and 999.70

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Solution

The fourth proportional to 1,218.40, 1,825.17 and 999.70 is: 1,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.40 : 1,825.17 = 999.70 : x
  2. Step 2: Convert to fraction form
    1,218.40/1,825.17 = 999.70/x
  3. Step 3: Cross multiply
    1,218.40x = 1,825.17 × 999.70
  4. Step 4: Simplify right side
    1,218.40x = 1,824,622.45
  5. Step 5: Solve for x
    x = 1,824,622.45/1,218.40
  6. Step 6: Final answer
    x = 1,497.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.