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Finding the Fourth Proportional to 946.24, 1,419.34 and 686.36

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Solution

The fourth proportional to 946.24, 1,419.34 and 686.36 is: 1,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.24 : 1,419.34 = 686.36 : x
  2. Step 2: Convert to fraction form
    946.24/1,419.34 = 686.36/x
  3. Step 3: Cross multiply
    946.24x = 1,419.34 × 686.36
  4. Step 4: Simplify right side
    946.24x = 974,178.20
  5. Step 5: Solve for x
    x = 974,178.20/946.24
  6. Step 6: Final answer
    x = 1,029.53

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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.