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Finding the Fourth Proportional to 1,133.12, 1,563.36 and 667.04

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Solution

The fourth proportional to 1,133.12, 1,563.36 and 667.04 is: 920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.12 : 1,563.36 = 667.04 : x
  2. Step 2: Convert to fraction form
    1,133.12/1,563.36 = 667.04/x
  3. Step 3: Cross multiply
    1,133.12x = 1,563.36 × 667.04
  4. Step 4: Simplify right side
    1,133.12x = 1,042,823.65
  5. Step 5: Solve for x
    x = 1,042,823.65/1,133.12
  6. Step 6: Final answer
    x = 920.31

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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.