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Finding the Fourth Proportional to 1,201.37, 1,657.79 and 670.22

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Solution

The fourth proportional to 1,201.37, 1,657.79 and 670.22 is: 924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.37 : 1,657.79 = 670.22 : x
  2. Step 2: Convert to fraction form
    1,201.37/1,657.79 = 670.22/x
  3. Step 3: Cross multiply
    1,201.37x = 1,657.79 × 670.22
  4. Step 4: Simplify right side
    1,201.37x = 1,111,072.37
  5. Step 5: Solve for x
    x = 1,111,072.37/1,201.37
  6. Step 6: Final answer
    x = 924.84

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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.