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Finding the Fourth Proportional to 907.58, 1,362.06 and 664.74

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Solution

The fourth proportional to 907.58, 1,362.06 and 664.74 is: 997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.58 : 1,362.06 = 664.74 : x
  2. Step 2: Convert to fraction form
    907.58/1,362.06 = 664.74/x
  3. Step 3: Cross multiply
    907.58x = 1,362.06 × 664.74
  4. Step 4: Simplify right side
    907.58x = 905,415.76
  5. Step 5: Solve for x
    x = 905,415.76/907.58
  6. Step 6: Final answer
    x = 997.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.