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Finding the Fourth Proportional to 688.61, 1,032.93 and 395.97

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Solution

The fourth proportional to 688.61, 1,032.93 and 395.97 is: 593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.61 : 1,032.93 = 395.97 : x
  2. Step 2: Convert to fraction form
    688.61/1,032.93 = 395.97/x
  3. Step 3: Cross multiply
    688.61x = 1,032.93 × 395.97
  4. Step 4: Simplify right side
    688.61x = 409,009.29
  5. Step 5: Solve for x
    x = 409,009.29/688.61
  6. Step 6: Final answer
    x = 593.97

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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.