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Finding the Fourth Proportional to 1,133.55, 1,698.50 and 699.80

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Solution

The fourth proportional to 1,133.55, 1,698.50 and 699.80 is: 1,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.55 : 1,698.50 = 699.80 : x
  2. Step 2: Convert to fraction form
    1,133.55/1,698.50 = 699.80/x
  3. Step 3: Cross multiply
    1,133.55x = 1,698.50 × 699.80
  4. Step 4: Simplify right side
    1,133.55x = 1,188,610.30
  5. Step 5: Solve for x
    x = 1,188,610.30/1,133.55
  6. Step 6: Final answer
    x = 1,048.57

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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.