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Finding the Fourth Proportional to 1,485.54, 2,228.76 and 706.14

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Solution

The fourth proportional to 1,485.54, 2,228.76 and 706.14 is: 1,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.54 : 2,228.76 = 706.14 : x
  2. Step 2: Convert to fraction form
    1,485.54/2,228.76 = 706.14/x
  3. Step 3: Cross multiply
    1,485.54x = 2,228.76 × 706.14
  4. Step 4: Simplify right side
    1,485.54x = 1,573,816.59
  5. Step 5: Solve for x
    x = 1,573,816.59/1,485.54
  6. Step 6: Final answer
    x = 1,059.42

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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.