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Finding the Fourth Proportional to 689.68, 1,032.87 and 400.24

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Solution

The fourth proportional to 689.68, 1,032.87 and 400.24 is: 599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.68 : 1,032.87 = 400.24 : x
  2. Step 2: Convert to fraction form
    689.68/1,032.87 = 400.24/x
  3. Step 3: Cross multiply
    689.68x = 1,032.87 × 400.24
  4. Step 4: Simplify right side
    689.68x = 413,395.89
  5. Step 5: Solve for x
    x = 413,395.89/689.68
  6. Step 6: Final answer
    x = 599.40

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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.