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Finding the Fourth Proportional to 714.56, 985.12 and 528.16

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Solution

The fourth proportional to 714.56, 985.12 and 528.16 is: 728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.56 : 985.12 = 528.16 : x
  2. Step 2: Convert to fraction form
    714.56/985.12 = 528.16/x
  3. Step 3: Cross multiply
    714.56x = 985.12 × 528.16
  4. Step 4: Simplify right side
    714.56x = 520,300.98
  5. Step 5: Solve for x
    x = 520,300.98/714.56
  6. Step 6: Final answer
    x = 728.14

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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.