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Finding the Fourth Proportional to 1,133.80, 1,698.24 and 699.64

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Solution

The fourth proportional to 1,133.80, 1,698.24 and 699.64 is: 1,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.80 : 1,698.24 = 699.64 : x
  2. Step 2: Convert to fraction form
    1,133.80/1,698.24 = 699.64/x
  3. Step 3: Cross multiply
    1,133.80x = 1,698.24 × 699.64
  4. Step 4: Simplify right side
    1,133.80x = 1,188,156.63
  5. Step 5: Solve for x
    x = 1,188,156.63/1,133.80
  6. Step 6: Final answer
    x = 1,047.94

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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.