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Finding the Fourth Proportional to 1,224.17, 1,687.70 and 830.51

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Solution

The fourth proportional to 1,224.17, 1,687.70 and 830.51 is: 1,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.17 : 1,687.70 = 830.51 : x
  2. Step 2: Convert to fraction form
    1,224.17/1,687.70 = 830.51/x
  3. Step 3: Cross multiply
    1,224.17x = 1,687.70 × 830.51
  4. Step 4: Simplify right side
    1,224.17x = 1,401,651.73
  5. Step 5: Solve for x
    x = 1,401,651.73/1,224.17
  6. Step 6: Final answer
    x = 1,144.98

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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.