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Finding the Fourth Proportional to 755.19, 1,042.27 and 630.65

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Solution

The fourth proportional to 755.19, 1,042.27 and 630.65 is: 870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.19 : 1,042.27 = 630.65 : x
  2. Step 2: Convert to fraction form
    755.19/1,042.27 = 630.65/x
  3. Step 3: Cross multiply
    755.19x = 1,042.27 × 630.65
  4. Step 4: Simplify right side
    755.19x = 657,308.60
  5. Step 5: Solve for x
    x = 657,308.60/755.19
  6. Step 6: Final answer
    x = 870.39

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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.