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Finding the Fourth Proportional to 1,370.14, 1,890.87 and 810.94

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Solution

The fourth proportional to 1,370.14, 1,890.87 and 810.94 is: 1,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.14 : 1,890.87 = 810.94 : x
  2. Step 2: Convert to fraction form
    1,370.14/1,890.87 = 810.94/x
  3. Step 3: Cross multiply
    1,370.14x = 1,890.87 × 810.94
  4. Step 4: Simplify right side
    1,370.14x = 1,533,382.12
  5. Step 5: Solve for x
    x = 1,533,382.12/1,370.14
  6. Step 6: Final answer
    x = 1,119.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.