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Finding the Fourth Proportional to 944.68, 1,415.17 and 619.06

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Solution

The fourth proportional to 944.68, 1,415.17 and 619.06 is: 927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.68 : 1,415.17 = 619.06 : x
  2. Step 2: Convert to fraction form
    944.68/1,415.17 = 619.06/x
  3. Step 3: Cross multiply
    944.68x = 1,415.17 × 619.06
  4. Step 4: Simplify right side
    944.68x = 876,075.14
  5. Step 5: Solve for x
    x = 876,075.14/944.68
  6. Step 6: Final answer
    x = 927.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.