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Finding the Fourth Proportional to 1,303.82, 1,799.86 and 832.35

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Solution

The fourth proportional to 1,303.82, 1,799.86 and 832.35 is: 1,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.82 : 1,799.86 = 832.35 : x
  2. Step 2: Convert to fraction form
    1,303.82/1,799.86 = 832.35/x
  3. Step 3: Cross multiply
    1,303.82x = 1,799.86 × 832.35
  4. Step 4: Simplify right side
    1,303.82x = 1,498,111.39
  5. Step 5: Solve for x
    x = 1,498,111.39/1,303.82
  6. Step 6: Final answer
    x = 1,149.02

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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.