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Finding the Fourth Proportional to 689.34, 1,034.02 and 256.50

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Solution

The fourth proportional to 689.34, 1,034.02 and 256.50 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.34 : 1,034.02 = 256.50 : x
  2. Step 2: Convert to fraction form
    689.34/1,034.02 = 256.50/x
  3. Step 3: Cross multiply
    689.34x = 1,034.02 × 256.50
  4. Step 4: Simplify right side
    689.34x = 265,226.13
  5. Step 5: Solve for x
    x = 265,226.13/689.34
  6. Step 6: Final answer
    x = 384.75

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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.