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Finding the Fourth Proportional to 1,485.76, 2,227.69 and 705.28

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Solution

The fourth proportional to 1,485.76, 2,227.69 and 705.28 is: 1,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.76 : 2,227.69 = 705.28 : x
  2. Step 2: Convert to fraction form
    1,485.76/2,227.69 = 705.28/x
  3. Step 3: Cross multiply
    1,485.76x = 2,227.69 × 705.28
  4. Step 4: Simplify right side
    1,485.76x = 1,571,145.20
  5. Step 5: Solve for x
    x = 1,571,145.20/1,485.76
  6. Step 6: Final answer
    x = 1,057.47

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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.