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Finding the Fourth Proportional to 1,294.19, 1,942.08 and 514.06

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Solution

The fourth proportional to 1,294.19, 1,942.08 and 514.06 is: 771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.19 : 1,942.08 = 514.06 : x
  2. Step 2: Convert to fraction form
    1,294.19/1,942.08 = 514.06/x
  3. Step 3: Cross multiply
    1,294.19x = 1,942.08 × 514.06
  4. Step 4: Simplify right side
    1,294.19x = 998,345.64
  5. Step 5: Solve for x
    x = 998,345.64/1,294.19
  6. Step 6: Final answer
    x = 771.41

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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.