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Finding the Fourth Proportional to 1,349.79, 2,021.84 and 619.98

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Solution

The fourth proportional to 1,349.79, 2,021.84 and 619.98 is: 928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.79 : 2,021.84 = 619.98 : x
  2. Step 2: Convert to fraction form
    1,349.79/2,021.84 = 619.98/x
  3. Step 3: Cross multiply
    1,349.79x = 2,021.84 × 619.98
  4. Step 4: Simplify right side
    1,349.79x = 1,253,500.36
  5. Step 5: Solve for x
    x = 1,253,500.36/1,349.79
  6. Step 6: Final answer
    x = 928.66

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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.