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Finding the Fourth Proportional to 1,133.43, 1,698.95 and 645.44

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Solution

The fourth proportional to 1,133.43, 1,698.95 and 645.44 is: 967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.43 : 1,698.95 = 645.44 : x
  2. Step 2: Convert to fraction form
    1,133.43/1,698.95 = 645.44/x
  3. Step 3: Cross multiply
    1,133.43x = 1,698.95 × 645.44
  4. Step 4: Simplify right side
    1,133.43x = 1,096,558.57
  5. Step 5: Solve for x
    x = 1,096,558.57/1,133.43
  6. Step 6: Final answer
    x = 967.47

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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.