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Finding the Fourth Proportional to 1,278.94, 1,918.94 and 621.17

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Solution

The fourth proportional to 1,278.94, 1,918.94 and 621.17 is: 932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.94 : 1,918.94 = 621.17 : x
  2. Step 2: Convert to fraction form
    1,278.94/1,918.94 = 621.17/x
  3. Step 3: Cross multiply
    1,278.94x = 1,918.94 × 621.17
  4. Step 4: Simplify right side
    1,278.94x = 1,191,985.95
  5. Step 5: Solve for x
    x = 1,191,985.95/1,278.94
  6. Step 6: Final answer
    x = 932.01

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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.