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Finding the Fourth Proportional to 946.02, 1,417.41 and 513.48

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Solution

The fourth proportional to 946.02, 1,417.41 and 513.48 is: 769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.02 : 1,417.41 = 513.48 : x
  2. Step 2: Convert to fraction form
    946.02/1,417.41 = 513.48/x
  3. Step 3: Cross multiply
    946.02x = 1,417.41 × 513.48
  4. Step 4: Simplify right side
    946.02x = 727,811.69
  5. Step 5: Solve for x
    x = 727,811.69/946.02
  6. Step 6: Final answer
    x = 769.34

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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.