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Finding the Fourth Proportional to 697.62, 962.29 and 511.86

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Solution

The fourth proportional to 697.62, 962.29 and 511.86 is: 706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.62 : 962.29 = 511.86 : x
  2. Step 2: Convert to fraction form
    697.62/962.29 = 511.86/x
  3. Step 3: Cross multiply
    697.62x = 962.29 × 511.86
  4. Step 4: Simplify right side
    697.62x = 492,557.76
  5. Step 5: Solve for x
    x = 492,557.76/697.62
  6. Step 6: Final answer
    x = 706.05

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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.