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Finding the Fourth Proportional to 1,235.76, 1,706.50 and 794.43

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Solution

The fourth proportional to 1,235.76, 1,706.50 and 794.43 is: 1,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.76 : 1,706.50 = 794.43 : x
  2. Step 2: Convert to fraction form
    1,235.76/1,706.50 = 794.43/x
  3. Step 3: Cross multiply
    1,235.76x = 1,706.50 × 794.43
  4. Step 4: Simplify right side
    1,235.76x = 1,355,686.26
  5. Step 5: Solve for x
    x = 1,355,686.26/1,235.76
  6. Step 6: Final answer
    x = 1,097.05

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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.