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Finding the Fourth Proportional to 1,291.63, 1,783.45 and 794.49

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Solution

The fourth proportional to 1,291.63, 1,783.45 and 794.49 is: 1,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.63 : 1,783.45 = 794.49 : x
  2. Step 2: Convert to fraction form
    1,291.63/1,783.45 = 794.49/x
  3. Step 3: Cross multiply
    1,291.63x = 1,783.45 × 794.49
  4. Step 4: Simplify right side
    1,291.63x = 1,416,924.27
  5. Step 5: Solve for x
    x = 1,416,924.27/1,291.63
  6. Step 6: Final answer
    x = 1,097.01

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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.