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Finding the Fourth Proportional to 1,403, 1,935.83 and 835.82

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Solution

The fourth proportional to 1,403, 1,935.83 and 835.82 is: 1,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403 : 1,935.83 = 835.82 : x
  2. Step 2: Convert to fraction form
    1,403/1,935.83 = 835.82/x
  3. Step 3: Cross multiply
    1,403x = 1,935.83 × 835.82
  4. Step 4: Simplify right side
    1,403x = 1,618,005.43
  5. Step 5: Solve for x
    x = 1,618,005.43/1,403
  6. Step 6: Final answer
    x = 1,153.25

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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.