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Finding the Fourth Proportional to 695.70, 975.60 and 695.70

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Solution

The fourth proportional to 695.70, 975.60 and 695.70 is: 975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.70 : 975.60 = 695.70 : x
  2. Step 2: Convert to fraction form
    695.70/975.60 = 695.70/x
  3. Step 3: Cross multiply
    695.70x = 975.60 × 695.70
  4. Step 4: Simplify right side
    695.70x = 678,724.92
  5. Step 5: Solve for x
    x = 678,724.92/695.70
  6. Step 6: Final answer
    x = 975.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.