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Finding the Fourth Proportional to 1,804.95, 2,707.66 and 488.73

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Solution

The fourth proportional to 1,804.95, 2,707.66 and 488.73 is: 733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.95 : 2,707.66 = 488.73 : x
  2. Step 2: Convert to fraction form
    1,804.95/2,707.66 = 488.73/x
  3. Step 3: Cross multiply
    1,804.95x = 2,707.66 × 488.73
  4. Step 4: Simplify right side
    1,804.95x = 1,323,325.44
  5. Step 5: Solve for x
    x = 1,323,325.44/1,804.95
  6. Step 6: Final answer
    x = 733.16

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Why These Related Problems?

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