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Finding the Fourth Proportional to 688.97, 1,033.50 and 256.13

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Solution

The fourth proportional to 688.97, 1,033.50 and 256.13 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.97 : 1,033.50 = 256.13 : x
  2. Step 2: Convert to fraction form
    688.97/1,033.50 = 256.13/x
  3. Step 3: Cross multiply
    688.97x = 1,033.50 × 256.13
  4. Step 4: Simplify right side
    688.97x = 264,705.19
  5. Step 5: Solve for x
    x = 264,705.19/688.97
  6. Step 6: Final answer
    x = 384.21

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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.