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Finding the Fourth Proportional to 1,286.49, 1,930.08 and 555.90

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Solution

The fourth proportional to 1,286.49, 1,930.08 and 555.90 is: 834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.49 : 1,930.08 = 555.90 : x
  2. Step 2: Convert to fraction form
    1,286.49/1,930.08 = 555.90/x
  3. Step 3: Cross multiply
    1,286.49x = 1,930.08 × 555.90
  4. Step 4: Simplify right side
    1,286.49x = 1,072,931.47
  5. Step 5: Solve for x
    x = 1,072,931.47/1,286.49
  6. Step 6: Final answer
    x = 834.00

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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.