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Finding the Fourth Proportional to 665.82, 917.46 and 642.06

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Solution

The fourth proportional to 665.82, 917.46 and 642.06 is: 884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.82 : 917.46 = 642.06 : x
  2. Step 2: Convert to fraction form
    665.82/917.46 = 642.06/x
  3. Step 3: Cross multiply
    665.82x = 917.46 × 642.06
  4. Step 4: Simplify right side
    665.82x = 589,064.37
  5. Step 5: Solve for x
    x = 589,064.37/665.82
  6. Step 6: Final answer
    x = 884.72

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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.