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Finding the Fourth Proportional to 804.45, 1,206.67 and 643.16

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Solution

The fourth proportional to 804.45, 1,206.67 and 643.16 is: 964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.45 : 1,206.67 = 643.16 : x
  2. Step 2: Convert to fraction form
    804.45/1,206.67 = 643.16/x
  3. Step 3: Cross multiply
    804.45x = 1,206.67 × 643.16
  4. Step 4: Simplify right side
    804.45x = 776,072.63
  5. Step 5: Solve for x
    x = 776,072.63/804.45
  6. Step 6: Final answer
    x = 964.72

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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.