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Finding the Fourth Proportional to 686.28, 946.29 and 576.93

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Solution

The fourth proportional to 686.28, 946.29 and 576.93 is: 795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.28 : 946.29 = 576.93 : x
  2. Step 2: Convert to fraction form
    686.28/946.29 = 576.93/x
  3. Step 3: Cross multiply
    686.28x = 946.29 × 576.93
  4. Step 4: Simplify right side
    686.28x = 545,943.09
  5. Step 5: Solve for x
    x = 545,943.09/686.28
  6. Step 6: Final answer
    x = 795.51

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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.