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Finding the Fourth Proportional to 689.87, 1,035.08 and 257.06

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Solution

The fourth proportional to 689.87, 1,035.08 and 257.06 is: 385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.87 : 1,035.08 = 257.06 : x
  2. Step 2: Convert to fraction form
    689.87/1,035.08 = 257.06/x
  3. Step 3: Cross multiply
    689.87x = 1,035.08 × 257.06
  4. Step 4: Simplify right side
    689.87x = 266,079.93
  5. Step 5: Solve for x
    x = 266,079.93/689.87
  6. Step 6: Final answer
    x = 385.69

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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.