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Finding the Fourth Proportional to 675.24, 1,006.95 and 650.94

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Solution

The fourth proportional to 675.24, 1,006.95 and 650.94 is: 970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.24 : 1,006.95 = 650.94 : x
  2. Step 2: Convert to fraction form
    675.24/1,006.95 = 650.94/x
  3. Step 3: Cross multiply
    675.24x = 1,006.95 × 650.94
  4. Step 4: Simplify right side
    675.24x = 655,464.03
  5. Step 5: Solve for x
    x = 655,464.03/675.24
  6. Step 6: Final answer
    x = 970.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.