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Finding the Fourth Proportional to 701.30, 1,051.14 and 411.86

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Solution

The fourth proportional to 701.30, 1,051.14 and 411.86 is: 617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.30 : 1,051.14 = 411.86 : x
  2. Step 2: Convert to fraction form
    701.30/1,051.14 = 411.86/x
  3. Step 3: Cross multiply
    701.30x = 1,051.14 × 411.86
  4. Step 4: Simplify right side
    701.30x = 432,922.52
  5. Step 5: Solve for x
    x = 432,922.52/701.30
  6. Step 6: Final answer
    x = 617.31

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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.