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Finding the Fourth Proportional to 697.17, 962.16 and 522.21

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Solution

The fourth proportional to 697.17, 962.16 and 522.21 is: 720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.17 : 962.16 = 522.21 : x
  2. Step 2: Convert to fraction form
    697.17/962.16 = 522.21/x
  3. Step 3: Cross multiply
    697.17x = 962.16 × 522.21
  4. Step 4: Simplify right side
    697.17x = 502,449.57
  5. Step 5: Solve for x
    x = 502,449.57/697.17
  6. Step 6: Final answer
    x = 720.70

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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.