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Finding the Fourth Proportional to 1,194.06, 1,647.97 and 670.13

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Solution

The fourth proportional to 1,194.06, 1,647.97 and 670.13 is: 924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.06 : 1,647.97 = 670.13 : x
  2. Step 2: Convert to fraction form
    1,194.06/1,647.97 = 670.13/x
  3. Step 3: Cross multiply
    1,194.06x = 1,647.97 × 670.13
  4. Step 4: Simplify right side
    1,194.06x = 1,104,344.22
  5. Step 5: Solve for x
    x = 1,104,344.22/1,194.06
  6. Step 6: Final answer
    x = 924.86

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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.