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Finding the Fourth Proportional to 697.93, 963.45 and 511.44

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Solution

The fourth proportional to 697.93, 963.45 and 511.44 is: 706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.93 : 963.45 = 511.44 : x
  2. Step 2: Convert to fraction form
    697.93/963.45 = 511.44/x
  3. Step 3: Cross multiply
    697.93x = 963.45 × 511.44
  4. Step 4: Simplify right side
    697.93x = 492,746.87
  5. Step 5: Solve for x
    x = 492,746.87/697.93
  6. Step 6: Final answer
    x = 706.01

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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.