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Finding the Fourth Proportional to 695.78, 957.93 and 624.26

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Solution

The fourth proportional to 695.78, 957.93 and 624.26 is: 859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.78 : 957.93 = 624.26 : x
  2. Step 2: Convert to fraction form
    695.78/957.93 = 624.26/x
  3. Step 3: Cross multiply
    695.78x = 957.93 × 624.26
  4. Step 4: Simplify right side
    695.78x = 597,997.38
  5. Step 5: Solve for x
    x = 597,997.38/695.78
  6. Step 6: Final answer
    x = 859.46

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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.