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Finding the Fourth Proportional to 689.16, 1,033.64 and 256.26

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Solution

The fourth proportional to 689.16, 1,033.64 and 256.26 is: 384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.16 : 1,033.64 = 256.26 : x
  2. Step 2: Convert to fraction form
    689.16/1,033.64 = 256.26/x
  3. Step 3: Cross multiply
    689.16x = 1,033.64 × 256.26
  4. Step 4: Simplify right side
    689.16x = 264,880.59
  5. Step 5: Solve for x
    x = 264,880.59/689.16
  6. Step 6: Final answer
    x = 384.35

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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.