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Finding the Fourth Proportional to 971.45, 1,457.15 and 541.34

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Solution

The fourth proportional to 971.45, 1,457.15 and 541.34 is: 811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.45 : 1,457.15 = 541.34 : x
  2. Step 2: Convert to fraction form
    971.45/1,457.15 = 541.34/x
  3. Step 3: Cross multiply
    971.45x = 1,457.15 × 541.34
  4. Step 4: Simplify right side
    971.45x = 788,810.87
  5. Step 5: Solve for x
    x = 788,810.87/971.45
  6. Step 6: Final answer
    x = 811.99

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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.