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Finding the Fourth Proportional to 1,804.56, 2,706.63 and 572.01

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Solution

The fourth proportional to 1,804.56, 2,706.63 and 572.01 is: 857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.56 : 2,706.63 = 572.01 : x
  2. Step 2: Convert to fraction form
    1,804.56/2,706.63 = 572.01/x
  3. Step 3: Cross multiply
    1,804.56x = 2,706.63 × 572.01
  4. Step 4: Simplify right side
    1,804.56x = 1,548,219.43
  5. Step 5: Solve for x
    x = 1,548,219.43/1,804.56
  6. Step 6: Final answer
    x = 857.95

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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.