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Finding the Fourth Proportional to 688.01, 1,032.28 and 414.29

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Solution

The fourth proportional to 688.01, 1,032.28 and 414.29 is: 621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.01 : 1,032.28 = 414.29 : x
  2. Step 2: Convert to fraction form
    688.01/1,032.28 = 414.29/x
  3. Step 3: Cross multiply
    688.01x = 1,032.28 × 414.29
  4. Step 4: Simplify right side
    688.01x = 427,663.28
  5. Step 5: Solve for x
    x = 427,663.28/688.01
  6. Step 6: Final answer
    x = 621.59

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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.