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Finding the Fourth Proportional to 1,270.45, 1,905.85 and 393.02

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Solution

The fourth proportional to 1,270.45, 1,905.85 and 393.02 is: 589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.45 : 1,905.85 = 393.02 : x
  2. Step 2: Convert to fraction form
    1,270.45/1,905.85 = 393.02/x
  3. Step 3: Cross multiply
    1,270.45x = 1,905.85 × 393.02
  4. Step 4: Simplify right side
    1,270.45x = 749,037.17
  5. Step 5: Solve for x
    x = 749,037.17/1,270.45
  6. Step 6: Final answer
    x = 589.58

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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.