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Finding the Fourth Proportional to 728.84, 1,093.14 and 606.24

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Solution

The fourth proportional to 728.84, 1,093.14 and 606.24 is: 909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.84 : 1,093.14 = 606.24 : x
  2. Step 2: Convert to fraction form
    728.84/1,093.14 = 606.24/x
  3. Step 3: Cross multiply
    728.84x = 1,093.14 × 606.24
  4. Step 4: Simplify right side
    728.84x = 662,705.19
  5. Step 5: Solve for x
    x = 662,705.19/728.84
  6. Step 6: Final answer
    x = 909.26

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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.