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Finding the Fourth Proportional to 688.42, 1,032.50 and 341.64

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Solution

The fourth proportional to 688.42, 1,032.50 and 341.64 is: 512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.42 : 1,032.50 = 341.64 : x
  2. Step 2: Convert to fraction form
    688.42/1,032.50 = 341.64/x
  3. Step 3: Cross multiply
    688.42x = 1,032.50 × 341.64
  4. Step 4: Simplify right side
    688.42x = 352,738.14
  5. Step 5: Solve for x
    x = 352,738.14/688.42
  6. Step 6: Final answer
    x = 512.39

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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.