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Finding the Fourth Proportional to 1,009.33, 1,513.63 and 546.64

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Solution

The fourth proportional to 1,009.33, 1,513.63 and 546.64 is: 819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.33 : 1,513.63 = 546.64 : x
  2. Step 2: Convert to fraction form
    1,009.33/1,513.63 = 546.64/x
  3. Step 3: Cross multiply
    1,009.33x = 1,513.63 × 546.64
  4. Step 4: Simplify right side
    1,009.33x = 827,410.70
  5. Step 5: Solve for x
    x = 827,410.70/1,009.33
  6. Step 6: Final answer
    x = 819.76

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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.