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Finding the Fourth Proportional to 1,208.81, 1,814.83 and 716.12

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Solution

The fourth proportional to 1,208.81, 1,814.83 and 716.12 is: 1,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.81 : 1,814.83 = 716.12 : x
  2. Step 2: Convert to fraction form
    1,208.81/1,814.83 = 716.12/x
  3. Step 3: Cross multiply
    1,208.81x = 1,814.83 × 716.12
  4. Step 4: Simplify right side
    1,208.81x = 1,299,638.81
  5. Step 5: Solve for x
    x = 1,299,638.81/1,208.81
  6. Step 6: Final answer
    x = 1,075.14

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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.