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Finding the Fourth Proportional to 686.68, 947.04 and 500.80

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Solution

The fourth proportional to 686.68, 947.04 and 500.80 is: 690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.68 : 947.04 = 500.80 : x
  2. Step 2: Convert to fraction form
    686.68/947.04 = 500.80/x
  3. Step 3: Cross multiply
    686.68x = 947.04 × 500.80
  4. Step 4: Simplify right side
    686.68x = 474,277.63
  5. Step 5: Solve for x
    x = 474,277.63/686.68
  6. Step 6: Final answer
    x = 690.68

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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.