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Finding the Fourth Proportional to 686.99, 1,030.73 and 340.29

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Solution

The fourth proportional to 686.99, 1,030.73 and 340.29 is: 510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.99 : 1,030.73 = 340.29 : x
  2. Step 2: Convert to fraction form
    686.99/1,030.73 = 340.29/x
  3. Step 3: Cross multiply
    686.99x = 1,030.73 × 340.29
  4. Step 4: Simplify right side
    686.99x = 350,745.41
  5. Step 5: Solve for x
    x = 350,745.41/686.99
  6. Step 6: Final answer
    x = 510.56

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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.