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Finding the Fourth Proportional to 1,210.95, 1,813.86 and 800.28

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Solution

The fourth proportional to 1,210.95, 1,813.86 and 800.28 is: 1,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.95 : 1,813.86 = 800.28 : x
  2. Step 2: Convert to fraction form
    1,210.95/1,813.86 = 800.28/x
  3. Step 3: Cross multiply
    1,210.95x = 1,813.86 × 800.28
  4. Step 4: Simplify right side
    1,210.95x = 1,451,595.88
  5. Step 5: Solve for x
    x = 1,451,595.88/1,210.95
  6. Step 6: Final answer
    x = 1,198.72

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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.