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Finding the Fourth Proportional to 669.48, 998.73 and 650.63

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Solution

The fourth proportional to 669.48, 998.73 and 650.63 is: 970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.48 : 998.73 = 650.63 : x
  2. Step 2: Convert to fraction form
    669.48/998.73 = 650.63/x
  3. Step 3: Cross multiply
    669.48x = 998.73 × 650.63
  4. Step 4: Simplify right side
    669.48x = 649,808.94
  5. Step 5: Solve for x
    x = 649,808.94/669.48
  6. Step 6: Final answer
    x = 970.61

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1.5x scale

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.