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Finding the Fourth Proportional to 1,383.69, 2,073.93 and 560.94

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Solution

The fourth proportional to 1,383.69, 2,073.93 and 560.94 is: 840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.69 : 2,073.93 = 560.94 : x
  2. Step 2: Convert to fraction form
    1,383.69/2,073.93 = 560.94/x
  3. Step 3: Cross multiply
    1,383.69x = 2,073.93 × 560.94
  4. Step 4: Simplify right side
    1,383.69x = 1,163,350.29
  5. Step 5: Solve for x
    x = 1,163,350.29/1,383.69
  6. Step 6: Final answer
    x = 840.76

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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.