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Finding the Fourth Proportional to 1,031.14, 1,546.32 and 414.64

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Solution

The fourth proportional to 1,031.14, 1,546.32 and 414.64 is: 621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.14 : 1,546.32 = 414.64 : x
  2. Step 2: Convert to fraction form
    1,031.14/1,546.32 = 414.64/x
  3. Step 3: Cross multiply
    1,031.14x = 1,546.32 × 414.64
  4. Step 4: Simplify right side
    1,031.14x = 641,158.39
  5. Step 5: Solve for x
    x = 641,158.39/1,031.14
  6. Step 6: Final answer
    x = 621.80

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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.