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Finding the Fourth Proportional to 1,421.82, 2,133.07 and 805.95

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Solution

The fourth proportional to 1,421.82, 2,133.07 and 805.95 is: 1,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.82 : 2,133.07 = 805.95 : x
  2. Step 2: Convert to fraction form
    1,421.82/2,133.07 = 805.95/x
  3. Step 3: Cross multiply
    1,421.82x = 2,133.07 × 805.95
  4. Step 4: Simplify right side
    1,421.82x = 1,719,145.75
  5. Step 5: Solve for x
    x = 1,719,145.75/1,421.82
  6. Step 6: Final answer
    x = 1,209.12

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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.