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Finding the Fourth Proportional to 1,254.83, 1,881.02 and 638.42

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Solution

The fourth proportional to 1,254.83, 1,881.02 and 638.42 is: 957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.83 : 1,881.02 = 638.42 : x
  2. Step 2: Convert to fraction form
    1,254.83/1,881.02 = 638.42/x
  3. Step 3: Cross multiply
    1,254.83x = 1,881.02 × 638.42
  4. Step 4: Simplify right side
    1,254.83x = 1,200,872.98
  5. Step 5: Solve for x
    x = 1,200,872.98/1,254.83
  6. Step 6: Final answer
    x = 957.00

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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.