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Finding the Fourth Proportional to 1,146.42, 1,716.39 and 777.06

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Solution

The fourth proportional to 1,146.42, 1,716.39 and 777.06 is: 1,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.42 : 1,716.39 = 777.06 : x
  2. Step 2: Convert to fraction form
    1,146.42/1,716.39 = 777.06/x
  3. Step 3: Cross multiply
    1,146.42x = 1,716.39 × 777.06
  4. Step 4: Simplify right side
    1,146.42x = 1,333,738.01
  5. Step 5: Solve for x
    x = 1,333,738.01/1,146.42
  6. Step 6: Final answer
    x = 1,163.39

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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.