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Finding the Fourth Proportional to 1,004.11, 1,506.41 and 810.86

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Solution

The fourth proportional to 1,004.11, 1,506.41 and 810.86 is: 1,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.11 : 1,506.41 = 810.86 : x
  2. Step 2: Convert to fraction form
    1,004.11/1,506.41 = 810.86/x
  3. Step 3: Cross multiply
    1,004.11x = 1,506.41 × 810.86
  4. Step 4: Simplify right side
    1,004.11x = 1,221,488.68
  5. Step 5: Solve for x
    x = 1,221,488.68/1,004.11
  6. Step 6: Final answer
    x = 1,216.49

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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.