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Finding the Fourth Proportional to 1,280.94, 1,921.47 and 415.32

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Solution

The fourth proportional to 1,280.94, 1,921.47 and 415.32 is: 623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.94 : 1,921.47 = 415.32 : x
  2. Step 2: Convert to fraction form
    1,280.94/1,921.47 = 415.32/x
  3. Step 3: Cross multiply
    1,280.94x = 1,921.47 × 415.32
  4. Step 4: Simplify right side
    1,280.94x = 798,024.92
  5. Step 5: Solve for x
    x = 798,024.92/1,280.94
  6. Step 6: Final answer
    x = 623.00

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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.