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Finding the Fourth Proportional to 1,304.66, 1,957.26 and 427.26

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Solution

The fourth proportional to 1,304.66, 1,957.26 and 427.26 is: 640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.66 : 1,957.26 = 427.26 : x
  2. Step 2: Convert to fraction form
    1,304.66/1,957.26 = 427.26/x
  3. Step 3: Cross multiply
    1,304.66x = 1,957.26 × 427.26
  4. Step 4: Simplify right side
    1,304.66x = 836,258.91
  5. Step 5: Solve for x
    x = 836,258.91/1,304.66
  6. Step 6: Final answer
    x = 640.98

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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.