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Finding the Fourth Proportional to 804.41, 1,206.95 and 544.70

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Solution

The fourth proportional to 804.41, 1,206.95 and 544.70 is: 817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.41 : 1,206.95 = 544.70 : x
  2. Step 2: Convert to fraction form
    804.41/1,206.95 = 544.70/x
  3. Step 3: Cross multiply
    804.41x = 1,206.95 × 544.70
  4. Step 4: Simplify right side
    804.41x = 657,425.63
  5. Step 5: Solve for x
    x = 657,425.63/804.41
  6. Step 6: Final answer
    x = 817.28

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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.