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Finding the Fourth Proportional to 971.96, 1,457.88 and 386.87

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Solution

The fourth proportional to 971.96, 1,457.88 and 386.87 is: 580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.96 : 1,457.88 = 386.87 : x
  2. Step 2: Convert to fraction form
    971.96/1,457.88 = 386.87/x
  3. Step 3: Cross multiply
    971.96x = 1,457.88 × 386.87
  4. Step 4: Simplify right side
    971.96x = 564,002.75
  5. Step 5: Solve for x
    x = 564,002.75/971.96
  6. Step 6: Final answer
    x = 580.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.