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Finding the Fourth Proportional to 864.20, 1,190.58 and 601.76

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Solution

The fourth proportional to 864.20, 1,190.58 and 601.76 is: 829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.20 : 1,190.58 = 601.76 : x
  2. Step 2: Convert to fraction form
    864.20/1,190.58 = 601.76/x
  3. Step 3: Cross multiply
    864.20x = 1,190.58 × 601.76
  4. Step 4: Simplify right side
    864.20x = 716,443.42
  5. Step 5: Solve for x
    x = 716,443.42/864.20
  6. Step 6: Final answer
    x = 829.03

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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.