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Finding the Fourth Proportional to 1,298.21, 1,947.77 and 810.69

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Solution

The fourth proportional to 1,298.21, 1,947.77 and 810.69 is: 1,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.21 : 1,947.77 = 810.69 : x
  2. Step 2: Convert to fraction form
    1,298.21/1,947.77 = 810.69/x
  3. Step 3: Cross multiply
    1,298.21x = 1,947.77 × 810.69
  4. Step 4: Simplify right side
    1,298.21x = 1,579,033.61
  5. Step 5: Solve for x
    x = 1,579,033.61/1,298.21
  6. Step 6: Final answer
    x = 1,216.32

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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.