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Finding the Fourth Proportional to 971.56, 1,457.66 and 423.44

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Solution

The fourth proportional to 971.56, 1,457.66 and 423.44 is: 635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.56 : 1,457.66 = 423.44 : x
  2. Step 2: Convert to fraction form
    971.56/1,457.66 = 423.44/x
  3. Step 3: Cross multiply
    971.56x = 1,457.66 × 423.44
  4. Step 4: Simplify right side
    971.56x = 617,231.55
  5. Step 5: Solve for x
    x = 617,231.55/971.56
  6. Step 6: Final answer
    x = 635.30

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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.