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Finding the Fourth Proportional to 688.59, 1,033.02 and 323.42

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Solution

The fourth proportional to 688.59, 1,033.02 and 323.42 is: 485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.59 : 1,033.02 = 323.42 : x
  2. Step 2: Convert to fraction form
    688.59/1,033.02 = 323.42/x
  3. Step 3: Cross multiply
    688.59x = 1,033.02 × 323.42
  4. Step 4: Simplify right side
    688.59x = 334,094.16
  5. Step 5: Solve for x
    x = 334,094.16/688.59
  6. Step 6: Final answer
    x = 485.19

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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.