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Finding the Fourth Proportional to 1,684.84, 2,525.74 and 711

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Solution

The fourth proportional to 1,684.84, 2,525.74 and 711 is: 1,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.84 : 2,525.74 = 711 : x
  2. Step 2: Convert to fraction form
    1,684.84/2,525.74 = 711/x
  3. Step 3: Cross multiply
    1,684.84x = 2,525.74 × 711
  4. Step 4: Simplify right side
    1,684.84x = 1,795,801.14
  5. Step 5: Solve for x
    x = 1,795,801.14/1,684.84
  6. Step 6: Final answer
    x = 1,065.86

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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.