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Finding the Fourth Proportional to 755.80, 1,042.85 and 546.29

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Solution

The fourth proportional to 755.80, 1,042.85 and 546.29 is: 753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.80 : 1,042.85 = 546.29 : x
  2. Step 2: Convert to fraction form
    755.80/1,042.85 = 546.29/x
  3. Step 3: Cross multiply
    755.80x = 1,042.85 × 546.29
  4. Step 4: Simplify right side
    755.80x = 569,695.80
  5. Step 5: Solve for x
    x = 569,695.80/755.80
  6. Step 6: Final answer
    x = 753.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.