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Finding the Fourth Proportional to 688.96, 1,032.42 and 543.06

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Solution

The fourth proportional to 688.96, 1,032.42 and 543.06 is: 813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.96 : 1,032.42 = 543.06 : x
  2. Step 2: Convert to fraction form
    688.96/1,032.42 = 543.06/x
  3. Step 3: Cross multiply
    688.96x = 1,032.42 × 543.06
  4. Step 4: Simplify right side
    688.96x = 560,664.17
  5. Step 5: Solve for x
    x = 560,664.17/688.96
  6. Step 6: Final answer
    x = 813.79

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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.