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Finding the Fourth Proportional to 1,184.04, 1,634.08 and 679.96

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Solution

The fourth proportional to 1,184.04, 1,634.08 and 679.96 is: 938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.04 : 1,634.08 = 679.96 : x
  2. Step 2: Convert to fraction form
    1,184.04/1,634.08 = 679.96/x
  3. Step 3: Cross multiply
    1,184.04x = 1,634.08 × 679.96
  4. Step 4: Simplify right side
    1,184.04x = 1,111,106.60
  5. Step 5: Solve for x
    x = 1,111,106.60/1,184.04
  6. Step 6: Final answer
    x = 938.41

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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.