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Finding the Fourth Proportional to 1,421.96, 1,961.76 and 862.23

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Solution

The fourth proportional to 1,421.96, 1,961.76 and 862.23 is: 1,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.96 : 1,961.76 = 862.23 : x
  2. Step 2: Convert to fraction form
    1,421.96/1,961.76 = 862.23/x
  3. Step 3: Cross multiply
    1,421.96x = 1,961.76 × 862.23
  4. Step 4: Simplify right side
    1,421.96x = 1,691,498.91
  5. Step 5: Solve for x
    x = 1,691,498.91/1,421.96
  6. Step 6: Final answer
    x = 1,189.56

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1.5x scale

Why These Related Problems?

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