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Finding the Fourth Proportional to 689.07, 1,033.12 and 256.11

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Solution

The fourth proportional to 689.07, 1,033.12 and 256.11 is: 383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.07 : 1,033.12 = 256.11 : x
  2. Step 2: Convert to fraction form
    689.07/1,033.12 = 256.11/x
  3. Step 3: Cross multiply
    689.07x = 1,033.12 × 256.11
  4. Step 4: Simplify right side
    689.07x = 264,592.36
  5. Step 5: Solve for x
    x = 264,592.36/689.07
  6. Step 6: Final answer
    x = 383.98

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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.