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Finding the Fourth Proportional to 1,085.10, 1,628.78 and 537.67

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Solution

The fourth proportional to 1,085.10, 1,628.78 and 537.67 is: 807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.10 : 1,628.78 = 537.67 : x
  2. Step 2: Convert to fraction form
    1,085.10/1,628.78 = 537.67/x
  3. Step 3: Cross multiply
    1,085.10x = 1,628.78 × 537.67
  4. Step 4: Simplify right side
    1,085.10x = 875,745.49
  5. Step 5: Solve for x
    x = 875,745.49/1,085.10
  6. Step 6: Final answer
    x = 807.07

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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.