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Finding the Fourth Proportional to 1,194.21, 1,648.01 and 670.24

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Solution

The fourth proportional to 1,194.21, 1,648.01 and 670.24 is: 924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.21 : 1,648.01 = 670.24 : x
  2. Step 2: Convert to fraction form
    1,194.21/1,648.01 = 670.24/x
  3. Step 3: Cross multiply
    1,194.21x = 1,648.01 × 670.24
  4. Step 4: Simplify right side
    1,194.21x = 1,104,553.98
  5. Step 5: Solve for x
    x = 1,104,553.98/1,194.21
  6. Step 6: Final answer
    x = 924.93

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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.