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Finding the Fourth Proportional to 675.24, 1,011.20 and 670.36

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Solution

The fourth proportional to 675.24, 1,011.20 and 670.36 is: 1,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.24 : 1,011.20 = 670.36 : x
  2. Step 2: Convert to fraction form
    675.24/1,011.20 = 670.36/x
  3. Step 3: Cross multiply
    675.24x = 1,011.20 × 670.36
  4. Step 4: Simplify right side
    675.24x = 677,868.03
  5. Step 5: Solve for x
    x = 677,868.03/675.24
  6. Step 6: Final answer
    x = 1,003.89

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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.