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Finding the Fourth Proportional to 864.42, 1,294.02 and 644.46

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Solution

The fourth proportional to 864.42, 1,294.02 and 644.46 is: 964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,294.02 = 644.46 : x
  2. Step 2: Convert to fraction form
    864.42/1,294.02 = 644.46/x
  3. Step 3: Cross multiply
    864.42x = 1,294.02 × 644.46
  4. Step 4: Simplify right side
    864.42x = 833,944.13
  5. Step 5: Solve for x
    x = 833,944.13/864.42
  6. Step 6: Final answer
    x = 964.74

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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.