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Finding the Fourth Proportional to 1,404.94, 1,938.87 and 784.06

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Solution

The fourth proportional to 1,404.94, 1,938.87 and 784.06 is: 1,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.94 : 1,938.87 = 784.06 : x
  2. Step 2: Convert to fraction form
    1,404.94/1,938.87 = 784.06/x
  3. Step 3: Cross multiply
    1,404.94x = 1,938.87 × 784.06
  4. Step 4: Simplify right side
    1,404.94x = 1,520,190.41
  5. Step 5: Solve for x
    x = 1,520,190.41/1,404.94
  6. Step 6: Final answer
    x = 1,082.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.