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Finding the Fourth Proportional to 1,485.74, 2,228.56 and 706.12

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Solution

The fourth proportional to 1,485.74, 2,228.56 and 706.12 is: 1,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.74 : 2,228.56 = 706.12 : x
  2. Step 2: Convert to fraction form
    1,485.74/2,228.56 = 706.12/x
  3. Step 3: Cross multiply
    1,485.74x = 2,228.56 × 706.12
  4. Step 4: Simplify right side
    1,485.74x = 1,573,627.42
  5. Step 5: Solve for x
    x = 1,573,627.42/1,485.74
  6. Step 6: Final answer
    x = 1,059.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.