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Finding the Fourth Proportional to 1,706.58, 2,559.67 and 536.54

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Solution

The fourth proportional to 1,706.58, 2,559.67 and 536.54 is: 804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.58 : 2,559.67 = 536.54 : x
  2. Step 2: Convert to fraction form
    1,706.58/2,559.67 = 536.54/x
  3. Step 3: Cross multiply
    1,706.58x = 2,559.67 × 536.54
  4. Step 4: Simplify right side
    1,706.58x = 1,373,351.20
  5. Step 5: Solve for x
    x = 1,373,351.20/1,706.58
  6. Step 6: Final answer
    x = 804.74

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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.