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Finding the Fourth Proportional to 1,473.87, 2,034 and 810.75

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Solution

The fourth proportional to 1,473.87, 2,034 and 810.75 is: 1,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.87 : 2,034 = 810.75 : x
  2. Step 2: Convert to fraction form
    1,473.87/2,034 = 810.75/x
  3. Step 3: Cross multiply
    1,473.87x = 2,034 × 810.75
  4. Step 4: Simplify right side
    1,473.87x = 1,649,073.13
  5. Step 5: Solve for x
    x = 1,649,073.13/1,473.87
  6. Step 6: Final answer
    x = 1,118.87

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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.