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Finding the Fourth Proportional to 1,206.94, 1,810.38 and 513.18

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Solution

The fourth proportional to 1,206.94, 1,810.38 and 513.18 is: 769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.94 : 1,810.38 = 513.18 : x
  2. Step 2: Convert to fraction form
    1,206.94/1,810.38 = 513.18/x
  3. Step 3: Cross multiply
    1,206.94x = 1,810.38 × 513.18
  4. Step 4: Simplify right side
    1,206.94x = 929,050.81
  5. Step 5: Solve for x
    x = 929,050.81/1,206.94
  6. Step 6: Final answer
    x = 769.76

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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.