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Finding the Fourth Proportional to 1,280.98, 1,921.40 and 356.59

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Solution

The fourth proportional to 1,280.98, 1,921.40 and 356.59 is: 534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.98 : 1,921.40 = 356.59 : x
  2. Step 2: Convert to fraction form
    1,280.98/1,921.40 = 356.59/x
  3. Step 3: Cross multiply
    1,280.98x = 1,921.40 × 356.59
  4. Step 4: Simplify right side
    1,280.98x = 685,152.03
  5. Step 5: Solve for x
    x = 685,152.03/1,280.98
  6. Step 6: Final answer
    x = 534.87

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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.