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Finding the Fourth Proportional to 686.56, 947.86 and 465.84

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Solution

The fourth proportional to 686.56, 947.86 and 465.84 is: 643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.56 : 947.86 = 465.84 : x
  2. Step 2: Convert to fraction form
    686.56/947.86 = 465.84/x
  3. Step 3: Cross multiply
    686.56x = 947.86 × 465.84
  4. Step 4: Simplify right side
    686.56x = 441,551.10
  5. Step 5: Solve for x
    x = 441,551.10/686.56
  6. Step 6: Final answer
    x = 643.14

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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.