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Finding the Fourth Proportional to 755.60, 1,042.70 and 460.94

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Solution

The fourth proportional to 755.60, 1,042.70 and 460.94 is: 636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.60 : 1,042.70 = 460.94 : x
  2. Step 2: Convert to fraction form
    755.60/1,042.70 = 460.94/x
  3. Step 3: Cross multiply
    755.60x = 1,042.70 × 460.94
  4. Step 4: Simplify right side
    755.60x = 480,622.14
  5. Step 5: Solve for x
    x = 480,622.14/755.60
  6. Step 6: Final answer
    x = 636.08

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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.