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Finding the Fourth Proportional to 1,146.69, 1,720.04 and 943.79

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Solution

The fourth proportional to 1,146.69, 1,720.04 and 943.79 is: 1,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.69 : 1,720.04 = 943.79 : x
  2. Step 2: Convert to fraction form
    1,146.69/1,720.04 = 943.79/x
  3. Step 3: Cross multiply
    1,146.69x = 1,720.04 × 943.79
  4. Step 4: Simplify right side
    1,146.69x = 1,623,343.23
  5. Step 5: Solve for x
    x = 1,623,343.23/1,146.69
  6. Step 6: Final answer
    x = 1,415.68

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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.