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Finding the Fourth Proportional to 971.86, 1,457.73 and 394.72

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Solution

The fourth proportional to 971.86, 1,457.73 and 394.72 is: 592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.86 : 1,457.73 = 394.72 : x
  2. Step 2: Convert to fraction form
    971.86/1,457.73 = 394.72/x
  3. Step 3: Cross multiply
    971.86x = 1,457.73 × 394.72
  4. Step 4: Simplify right side
    971.86x = 575,390.06
  5. Step 5: Solve for x
    x = 575,390.06/971.86
  6. Step 6: Final answer
    x = 592.05

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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.