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Finding the Fourth Proportional to 697.58, 962.13 and 511.01

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Solution

The fourth proportional to 697.58, 962.13 and 511.01 is: 704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.58 : 962.13 = 511.01 : x
  2. Step 2: Convert to fraction form
    697.58/962.13 = 511.01/x
  3. Step 3: Cross multiply
    697.58x = 962.13 × 511.01
  4. Step 4: Simplify right side
    697.58x = 491,653.24
  5. Step 5: Solve for x
    x = 491,653.24/697.58
  6. Step 6: Final answer
    x = 704.80

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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.