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Finding the Fourth Proportional to 1,035.83, 1,429.23 and 616.33

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Solution

The fourth proportional to 1,035.83, 1,429.23 and 616.33 is: 850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.83 : 1,429.23 = 616.33 : x
  2. Step 2: Convert to fraction form
    1,035.83/1,429.23 = 616.33/x
  3. Step 3: Cross multiply
    1,035.83x = 1,429.23 × 616.33
  4. Step 4: Simplify right side
    1,035.83x = 880,877.33
  5. Step 5: Solve for x
    x = 880,877.33/1,035.83
  6. Step 6: Final answer
    x = 850.41

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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.