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Finding the Fourth Proportional to 688.84, 1,033.68 and 298.77

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Solution

The fourth proportional to 688.84, 1,033.68 and 298.77 is: 448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.84 : 1,033.68 = 298.77 : x
  2. Step 2: Convert to fraction form
    688.84/1,033.68 = 298.77/x
  3. Step 3: Cross multiply
    688.84x = 1,033.68 × 298.77
  4. Step 4: Simplify right side
    688.84x = 308,832.57
  5. Step 5: Solve for x
    x = 308,832.57/688.84
  6. Step 6: Final answer
    x = 448.34

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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.