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Finding the Fourth Proportional to 755.66, 1,043.10 and 460.98

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Solution

The fourth proportional to 755.66, 1,043.10 and 460.98 is: 636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.66 : 1,043.10 = 460.98 : x
  2. Step 2: Convert to fraction form
    755.66/1,043.10 = 460.98/x
  3. Step 3: Cross multiply
    755.66x = 1,043.10 × 460.98
  4. Step 4: Simplify right side
    755.66x = 480,848.24
  5. Step 5: Solve for x
    x = 480,848.24/755.66
  6. Step 6: Final answer
    x = 636.33

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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.