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Finding the Fourth Proportional to 1,194.03, 1,647.84 and 670.06

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Solution

The fourth proportional to 1,194.03, 1,647.84 and 670.06 is: 924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.03 : 1,647.84 = 670.06 : x
  2. Step 2: Convert to fraction form
    1,194.03/1,647.84 = 670.06/x
  3. Step 3: Cross multiply
    1,194.03x = 1,647.84 × 670.06
  4. Step 4: Simplify right side
    1,194.03x = 1,104,153.28
  5. Step 5: Solve for x
    x = 1,104,153.28/1,194.03
  6. Step 6: Final answer
    x = 924.73

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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.