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Finding the Fourth Proportional to 1,035.83, 1,429.42 and 593.84

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Solution

The fourth proportional to 1,035.83, 1,429.42 and 593.84 is: 819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.83 : 1,429.42 = 593.84 : x
  2. Step 2: Convert to fraction form
    1,035.83/1,429.42 = 593.84/x
  3. Step 3: Cross multiply
    1,035.83x = 1,429.42 × 593.84
  4. Step 4: Simplify right side
    1,035.83x = 848,846.77
  5. Step 5: Solve for x
    x = 848,846.77/1,035.83
  6. Step 6: Final answer
    x = 819.48

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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.