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Finding the Fourth Proportional to 1,104.36, 1,656.51 and 584.25

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Solution

The fourth proportional to 1,104.36, 1,656.51 and 584.25 is: 876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.36 : 1,656.51 = 584.25 : x
  2. Step 2: Convert to fraction form
    1,104.36/1,656.51 = 584.25/x
  3. Step 3: Cross multiply
    1,104.36x = 1,656.51 × 584.25
  4. Step 4: Simplify right side
    1,104.36x = 967,815.97
  5. Step 5: Solve for x
    x = 967,815.97/1,104.36
  6. Step 6: Final answer
    x = 876.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.