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Finding the Fourth Proportional to 688.23, 1,032.71 and 341.82

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Solution

The fourth proportional to 688.23, 1,032.71 and 341.82 is: 512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.23 : 1,032.71 = 341.82 : x
  2. Step 2: Convert to fraction form
    688.23/1,032.71 = 341.82/x
  3. Step 3: Cross multiply
    688.23x = 1,032.71 × 341.82
  4. Step 4: Simplify right side
    688.23x = 352,999.22
  5. Step 5: Solve for x
    x = 352,999.22/688.23
  6. Step 6: Final answer
    x = 512.91

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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.