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Finding the Fourth Proportional to 686.57, 947.61 and 403.19

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Solution

The fourth proportional to 686.57, 947.61 and 403.19 is: 556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.57 : 947.61 = 403.19 : x
  2. Step 2: Convert to fraction form
    686.57/947.61 = 403.19/x
  3. Step 3: Cross multiply
    686.57x = 947.61 × 403.19
  4. Step 4: Simplify right side
    686.57x = 382,066.88
  5. Step 5: Solve for x
    x = 382,066.88/686.57
  6. Step 6: Final answer
    x = 556.49

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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.