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Finding the Fourth Proportional to 1,101.80, 1,650.30 and 856.40

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Solution

The fourth proportional to 1,101.80, 1,650.30 and 856.40 is: 1,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.80 : 1,650.30 = 856.40 : x
  2. Step 2: Convert to fraction form
    1,101.80/1,650.30 = 856.40/x
  3. Step 3: Cross multiply
    1,101.80x = 1,650.30 × 856.40
  4. Step 4: Simplify right side
    1,101.80x = 1,413,316.92
  5. Step 5: Solve for x
    x = 1,413,316.92/1,101.80
  6. Step 6: Final answer
    x = 1,282.73

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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.