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Finding the Fourth Proportional to 689.08, 1,033.40 and 256.14

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Solution

The fourth proportional to 689.08, 1,033.40 and 256.14 is: 384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.08 : 1,033.40 = 256.14 : x
  2. Step 2: Convert to fraction form
    689.08/1,033.40 = 256.14/x
  3. Step 3: Cross multiply
    689.08x = 1,033.40 × 256.14
  4. Step 4: Simplify right side
    689.08x = 264,695.08
  5. Step 5: Solve for x
    x = 264,695.08/689.08
  6. Step 6: Final answer
    x = 384.13

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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.