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Finding the Fourth Proportional to 971.71, 1,457.54 and 541.60

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Solution

The fourth proportional to 971.71, 1,457.54 and 541.60 is: 812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.71 : 1,457.54 = 541.60 : x
  2. Step 2: Convert to fraction form
    971.71/1,457.54 = 541.60/x
  3. Step 3: Cross multiply
    971.71x = 1,457.54 × 541.60
  4. Step 4: Simplify right side
    971.71x = 789,393.67
  5. Step 5: Solve for x
    x = 789,393.67/971.71
  6. Step 6: Final answer
    x = 812.38

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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.