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Finding the Fourth Proportional to 755.30, 1,042.22 and 456.60

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Solution

The fourth proportional to 755.30, 1,042.22 and 456.60 is: 630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.30 : 1,042.22 = 456.60 : x
  2. Step 2: Convert to fraction form
    755.30/1,042.22 = 456.60/x
  3. Step 3: Cross multiply
    755.30x = 1,042.22 × 456.60
  4. Step 4: Simplify right side
    755.30x = 475,875.37
  5. Step 5: Solve for x
    x = 475,875.37/755.30
  6. Step 6: Final answer
    x = 630.05

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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.