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Finding the Fourth Proportional to 1,064.94, 1,595.96 and 804.73

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Solution

The fourth proportional to 1,064.94, 1,595.96 and 804.73 is: 1,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.94 : 1,595.96 = 804.73 : x
  2. Step 2: Convert to fraction form
    1,064.94/1,595.96 = 804.73/x
  3. Step 3: Cross multiply
    1,064.94x = 1,595.96 × 804.73
  4. Step 4: Simplify right side
    1,064.94x = 1,284,316.89
  5. Step 5: Solve for x
    x = 1,284,316.89/1,064.94
  6. Step 6: Final answer
    x = 1,206.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.