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Finding the Fourth Proportional to 964.63, 1,330.30 and 645.04

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Solution

The fourth proportional to 964.63, 1,330.30 and 645.04 is: 889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.63 : 1,330.30 = 645.04 : x
  2. Step 2: Convert to fraction form
    964.63/1,330.30 = 645.04/x
  3. Step 3: Cross multiply
    964.63x = 1,330.30 × 645.04
  4. Step 4: Simplify right side
    964.63x = 858,096.71
  5. Step 5: Solve for x
    x = 858,096.71/964.63
  6. Step 6: Final answer
    x = 889.56

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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.