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Finding the Fourth Proportional to 971.26, 1,457.49 and 394.13

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Solution

The fourth proportional to 971.26, 1,457.49 and 394.13 is: 591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.26 : 1,457.49 = 394.13 : x
  2. Step 2: Convert to fraction form
    971.26/1,457.49 = 394.13/x
  3. Step 3: Cross multiply
    971.26x = 1,457.49 × 394.13
  4. Step 4: Simplify right side
    971.26x = 574,445.66
  5. Step 5: Solve for x
    x = 574,445.66/971.26
  6. Step 6: Final answer
    x = 591.45

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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.