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Finding the Fourth Proportional to 1,804.75, 2,707.13 and 436.75

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Solution

The fourth proportional to 1,804.75, 2,707.13 and 436.75 is: 655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.75 : 2,707.13 = 436.75 : x
  2. Step 2: Convert to fraction form
    1,804.75/2,707.13 = 436.75/x
  3. Step 3: Cross multiply
    1,804.75x = 2,707.13 × 436.75
  4. Step 4: Simplify right side
    1,804.75x = 1,182,339.03
  5. Step 5: Solve for x
    x = 1,182,339.03/1,804.75
  6. Step 6: Final answer
    x = 655.13

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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.