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Finding the Fourth Proportional to 1,305.14, 1,957.20 and 427.40

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Solution

The fourth proportional to 1,305.14, 1,957.20 and 427.40 is: 640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.14 : 1,957.20 = 427.40 : x
  2. Step 2: Convert to fraction form
    1,305.14/1,957.20 = 427.40/x
  3. Step 3: Cross multiply
    1,305.14x = 1,957.20 × 427.40
  4. Step 4: Simplify right side
    1,305.14x = 836,507.28
  5. Step 5: Solve for x
    x = 836,507.28/1,305.14
  6. Step 6: Final answer
    x = 640.93

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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.