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Finding the Fourth Proportional to 714.42, 984.96 and 528.12

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Solution

The fourth proportional to 714.42, 984.96 and 528.12 is: 728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 984.96 = 528.12 : x
  2. Step 2: Convert to fraction form
    714.42/984.96 = 528.12/x
  3. Step 3: Cross multiply
    714.42x = 984.96 × 528.12
  4. Step 4: Simplify right side
    714.42x = 520,177.08
  5. Step 5: Solve for x
    x = 520,177.08/714.42
  6. Step 6: Final answer
    x = 728.11

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Why These Related Problems?

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