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Finding the Fourth Proportional to 688.29, 953.93 and 675.33

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Solution

The fourth proportional to 688.29, 953.93 and 675.33 is: 935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.29 : 953.93 = 675.33 : x
  2. Step 2: Convert to fraction form
    688.29/953.93 = 675.33/x
  3. Step 3: Cross multiply
    688.29x = 953.93 × 675.33
  4. Step 4: Simplify right side
    688.29x = 644,214.17
  5. Step 5: Solve for x
    x = 644,214.17/688.29
  6. Step 6: Final answer
    x = 935.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.