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Finding the Fourth Proportional to 697.60, 964.02 and 522.64

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Solution

The fourth proportional to 697.60, 964.02 and 522.64 is: 722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.60 : 964.02 = 522.64 : x
  2. Step 2: Convert to fraction form
    697.60/964.02 = 522.64/x
  3. Step 3: Cross multiply
    697.60x = 964.02 × 522.64
  4. Step 4: Simplify right side
    697.60x = 503,835.41
  5. Step 5: Solve for x
    x = 503,835.41/697.60
  6. Step 6: Final answer
    x = 722.24

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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.