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Finding the Fourth Proportional to 1,035.84, 1,429.49 and 593.82

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Solution

The fourth proportional to 1,035.84, 1,429.49 and 593.82 is: 819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.84 : 1,429.49 = 593.82 : x
  2. Step 2: Convert to fraction form
    1,035.84/1,429.49 = 593.82/x
  3. Step 3: Cross multiply
    1,035.84x = 1,429.49 × 593.82
  4. Step 4: Simplify right side
    1,035.84x = 848,857.52
  5. Step 5: Solve for x
    x = 848,857.52/1,035.84
  6. Step 6: Final answer
    x = 819.49

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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.