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Finding the Fourth Proportional to 686.84, 1,030.29 and 199.93

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Solution

The fourth proportional to 686.84, 1,030.29 and 199.93 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.84 : 1,030.29 = 199.93 : x
  2. Step 2: Convert to fraction form
    686.84/1,030.29 = 199.93/x
  3. Step 3: Cross multiply
    686.84x = 1,030.29 × 199.93
  4. Step 4: Simplify right side
    686.84x = 205,985.88
  5. Step 5: Solve for x
    x = 205,985.88/686.84
  6. Step 6: Final answer
    x = 299.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.