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Finding the Fourth Proportional to 971.64, 1,457.22 and 451.14

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Solution

The fourth proportional to 971.64, 1,457.22 and 451.14 is: 676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.64 : 1,457.22 = 451.14 : x
  2. Step 2: Convert to fraction form
    971.64/1,457.22 = 451.14/x
  3. Step 3: Cross multiply
    971.64x = 1,457.22 × 451.14
  4. Step 4: Simplify right side
    971.64x = 657,410.23
  5. Step 5: Solve for x
    x = 657,410.23/971.64
  6. Step 6: Final answer
    x = 676.60

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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.