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Finding the Fourth Proportional to 971.66, 1,457.50 and 541.55

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Solution

The fourth proportional to 971.66, 1,457.50 and 541.55 is: 812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.66 : 1,457.50 = 541.55 : x
  2. Step 2: Convert to fraction form
    971.66/1,457.50 = 541.55/x
  3. Step 3: Cross multiply
    971.66x = 1,457.50 × 541.55
  4. Step 4: Simplify right side
    971.66x = 789,301.84
  5. Step 5: Solve for x
    x = 789,301.84/971.66
  6. Step 6: Final answer
    x = 812.33

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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.