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Finding the Fourth Proportional to 971.24, 1,457.04 and 394.16

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Solution

The fourth proportional to 971.24, 1,457.04 and 394.16 is: 591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.24 : 1,457.04 = 394.16 : x
  2. Step 2: Convert to fraction form
    971.24/1,457.04 = 394.16/x
  3. Step 3: Cross multiply
    971.24x = 1,457.04 × 394.16
  4. Step 4: Simplify right side
    971.24x = 574,306.89
  5. Step 5: Solve for x
    x = 574,306.89/971.24
  6. Step 6: Final answer
    x = 591.31

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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.