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Finding the Fourth Proportional to 1,209.43, 1,666.74 and 835.74

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Solution

The fourth proportional to 1,209.43, 1,666.74 and 835.74 is: 1,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.43 : 1,666.74 = 835.74 : x
  2. Step 2: Convert to fraction form
    1,209.43/1,666.74 = 835.74/x
  3. Step 3: Cross multiply
    1,209.43x = 1,666.74 × 835.74
  4. Step 4: Simplify right side
    1,209.43x = 1,392,958.15
  5. Step 5: Solve for x
    x = 1,392,958.15/1,209.43
  6. Step 6: Final answer
    x = 1,151.75

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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.