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Finding the Fourth Proportional to 1,262.28, 1,893.40 and 384.78

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Solution

The fourth proportional to 1,262.28, 1,893.40 and 384.78 is: 577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.28 : 1,893.40 = 384.78 : x
  2. Step 2: Convert to fraction form
    1,262.28/1,893.40 = 384.78/x
  3. Step 3: Cross multiply
    1,262.28x = 1,893.40 × 384.78
  4. Step 4: Simplify right side
    1,262.28x = 728,542.45
  5. Step 5: Solve for x
    x = 728,542.45/1,262.28
  6. Step 6: Final answer
    x = 577.16

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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.