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Finding the Fourth Proportional to 1,300.12, 1,793.10 and 857.86

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Solution

The fourth proportional to 1,300.12, 1,793.10 and 857.86 is: 1,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.12 : 1,793.10 = 857.86 : x
  2. Step 2: Convert to fraction form
    1,300.12/1,793.10 = 857.86/x
  3. Step 3: Cross multiply
    1,300.12x = 1,793.10 × 857.86
  4. Step 4: Simplify right side
    1,300.12x = 1,538,228.77
  5. Step 5: Solve for x
    x = 1,538,228.77/1,300.12
  6. Step 6: Final answer
    x = 1,183.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.