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Finding the Fourth Proportional to 686.54, 948.29 and 581.51

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Solution

The fourth proportional to 686.54, 948.29 and 581.51 is: 803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.54 : 948.29 = 581.51 : x
  2. Step 2: Convert to fraction form
    686.54/948.29 = 581.51/x
  3. Step 3: Cross multiply
    686.54x = 948.29 × 581.51
  4. Step 4: Simplify right side
    686.54x = 551,432.47
  5. Step 5: Solve for x
    x = 551,432.47/686.54
  6. Step 6: Final answer
    x = 803.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.