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Finding the Fourth Proportional to 1,329.40, 1,833.66 and 804.76

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Solution

The fourth proportional to 1,329.40, 1,833.66 and 804.76 is: 1,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.40 : 1,833.66 = 804.76 : x
  2. Step 2: Convert to fraction form
    1,329.40/1,833.66 = 804.76/x
  3. Step 3: Cross multiply
    1,329.40x = 1,833.66 × 804.76
  4. Step 4: Simplify right side
    1,329.40x = 1,475,656.22
  5. Step 5: Solve for x
    x = 1,475,656.22/1,329.40
  6. Step 6: Final answer
    x = 1,110.02

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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.