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Finding the Fourth Proportional to 1,009.43, 1,512.84 and 546.23

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Solution

The fourth proportional to 1,009.43, 1,512.84 and 546.23 is: 818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.43 : 1,512.84 = 546.23 : x
  2. Step 2: Convert to fraction form
    1,009.43/1,512.84 = 546.23/x
  3. Step 3: Cross multiply
    1,009.43x = 1,512.84 × 546.23
  4. Step 4: Simplify right side
    1,009.43x = 826,363.00
  5. Step 5: Solve for x
    x = 826,363.00/1,009.43
  6. Step 6: Final answer
    x = 818.65

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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.