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Finding the Fourth Proportional to 919.66, 1,270.23 and 670.58

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Solution

The fourth proportional to 919.66, 1,270.23 and 670.58 is: 926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.66 : 1,270.23 = 670.58 : x
  2. Step 2: Convert to fraction form
    919.66/1,270.23 = 670.58/x
  3. Step 3: Cross multiply
    919.66x = 1,270.23 × 670.58
  4. Step 4: Simplify right side
    919.66x = 851,790.83
  5. Step 5: Solve for x
    x = 851,790.83/919.66
  6. Step 6: Final answer
    x = 926.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.