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Finding the Fourth Proportional to 941.06, 1,408.08 and 802.28

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Solution

The fourth proportional to 941.06, 1,408.08 and 802.28 is: 1,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.06 : 1,408.08 = 802.28 : x
  2. Step 2: Convert to fraction form
    941.06/1,408.08 = 802.28/x
  3. Step 3: Cross multiply
    941.06x = 1,408.08 × 802.28
  4. Step 4: Simplify right side
    941.06x = 1,129,674.42
  5. Step 5: Solve for x
    x = 1,129,674.42/941.06
  6. Step 6: Final answer
    x = 1,200.43

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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.