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Finding the Fourth Proportional to 1,364.60, 1,882.80 and 805.04

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Solution

The fourth proportional to 1,364.60, 1,882.80 and 805.04 is: 1,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.60 : 1,882.80 = 805.04 : x
  2. Step 2: Convert to fraction form
    1,364.60/1,882.80 = 805.04/x
  3. Step 3: Cross multiply
    1,364.60x = 1,882.80 × 805.04
  4. Step 4: Simplify right side
    1,364.60x = 1,515,729.31
  5. Step 5: Solve for x
    x = 1,515,729.31/1,364.60
  6. Step 6: Final answer
    x = 1,110.75

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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.