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Finding the Fourth Proportional to 1,305.16, 1,957.24 and 427.45

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Solution

The fourth proportional to 1,305.16, 1,957.24 and 427.45 is: 641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.16 : 1,957.24 = 427.45 : x
  2. Step 2: Convert to fraction form
    1,305.16/1,957.24 = 427.45/x
  3. Step 3: Cross multiply
    1,305.16x = 1,957.24 × 427.45
  4. Step 4: Simplify right side
    1,305.16x = 836,622.24
  5. Step 5: Solve for x
    x = 836,622.24/1,305.16
  6. Step 6: Final answer
    x = 641.01

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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.