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Finding the Fourth Proportional to 964.67, 1,329.32 and 669.43

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Solution

The fourth proportional to 964.67, 1,329.32 and 669.43 is: 922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.67 : 1,329.32 = 669.43 : x
  2. Step 2: Convert to fraction form
    964.67/1,329.32 = 669.43/x
  3. Step 3: Cross multiply
    964.67x = 1,329.32 × 669.43
  4. Step 4: Simplify right side
    964.67x = 889,878.78
  5. Step 5: Solve for x
    x = 889,878.78/964.67
  6. Step 6: Final answer
    x = 922.47

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1.5x scale

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.