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Finding the Fourth Proportional to 1,706.85, 2,560.26 and 536.94

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Solution

The fourth proportional to 1,706.85, 2,560.26 and 536.94 is: 805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.85 : 2,560.26 = 536.94 : x
  2. Step 2: Convert to fraction form
    1,706.85/2,560.26 = 536.94/x
  3. Step 3: Cross multiply
    1,706.85x = 2,560.26 × 536.94
  4. Step 4: Simplify right side
    1,706.85x = 1,374,706.00
  5. Step 5: Solve for x
    x = 1,374,706.00/1,706.85
  6. Step 6: Final answer
    x = 805.41

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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.