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Finding the Fourth Proportional to 688.87, 1,033.10 and 250.07

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Solution

The fourth proportional to 688.87, 1,033.10 and 250.07 is: 375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.87 : 1,033.10 = 250.07 : x
  2. Step 2: Convert to fraction form
    688.87/1,033.10 = 250.07/x
  3. Step 3: Cross multiply
    688.87x = 1,033.10 × 250.07
  4. Step 4: Simplify right side
    688.87x = 258,341.84
  5. Step 5: Solve for x
    x = 258,341.84/688.87
  6. Step 6: Final answer
    x = 375.02

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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.