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Finding the Fourth Proportional to 971.74, 1,457.79 and 394.66

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Solution

The fourth proportional to 971.74, 1,457.79 and 394.66 is: 592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.74 : 1,457.79 = 394.66 : x
  2. Step 2: Convert to fraction form
    971.74/1,457.79 = 394.66/x
  3. Step 3: Cross multiply
    971.74x = 1,457.79 × 394.66
  4. Step 4: Simplify right side
    971.74x = 575,331.40
  5. Step 5: Solve for x
    x = 575,331.40/971.74
  6. Step 6: Final answer
    x = 592.06

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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.