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Finding the Fourth Proportional to 689.10, 1,033.65 and 256.23

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Solution

The fourth proportional to 689.10, 1,033.65 and 256.23 is: 384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.10 : 1,033.65 = 256.23 : x
  2. Step 2: Convert to fraction form
    689.10/1,033.65 = 256.23/x
  3. Step 3: Cross multiply
    689.10x = 1,033.65 × 256.23
  4. Step 4: Simplify right side
    689.10x = 264,852.14
  5. Step 5: Solve for x
    x = 264,852.14/689.10
  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.