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Finding the Fourth Proportional to 681.51, 1,020.65 and 392.34

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Solution

The fourth proportional to 681.51, 1,020.65 and 392.34 is: 587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.51 : 1,020.65 = 392.34 : x
  2. Step 2: Convert to fraction form
    681.51/1,020.65 = 392.34/x
  3. Step 3: Cross multiply
    681.51x = 1,020.65 × 392.34
  4. Step 4: Simplify right side
    681.51x = 400,445.89
  5. Step 5: Solve for x
    x = 400,445.89/681.51
  6. Step 6: Final answer
    x = 587.58

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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.