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Finding the Fourth Proportional to 1,803.75, 2,706.12 and 571.12

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Solution

The fourth proportional to 1,803.75, 2,706.12 and 571.12 is: 856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.75 : 2,706.12 = 571.12 : x
  2. Step 2: Convert to fraction form
    1,803.75/2,706.12 = 571.12/x
  3. Step 3: Cross multiply
    1,803.75x = 2,706.12 × 571.12
  4. Step 4: Simplify right side
    1,803.75x = 1,545,519.25
  5. Step 5: Solve for x
    x = 1,545,519.25/1,803.75
  6. Step 6: Final answer
    x = 856.84

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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.