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Finding the Fourth Proportional to 714.21, 985.37 and 528.09

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Solution

The fourth proportional to 714.21, 985.37 and 528.09 is: 728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.21 : 985.37 = 528.09 : x
  2. Step 2: Convert to fraction form
    714.21/985.37 = 528.09/x
  3. Step 3: Cross multiply
    714.21x = 985.37 × 528.09
  4. Step 4: Simplify right side
    714.21x = 520,361.40
  5. Step 5: Solve for x
    x = 520,361.40/714.21
  6. Step 6: Final answer
    x = 728.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.