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Finding the Fourth Proportional to 740.63, 1,023.43 and 634.28

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Solution

The fourth proportional to 740.63, 1,023.43 and 634.28 is: 876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.63 : 1,023.43 = 634.28 : x
  2. Step 2: Convert to fraction form
    740.63/1,023.43 = 634.28/x
  3. Step 3: Cross multiply
    740.63x = 1,023.43 × 634.28
  4. Step 4: Simplify right side
    740.63x = 649,134.48
  5. Step 5: Solve for x
    x = 649,134.48/740.63
  6. Step 6: Final answer
    x = 876.46

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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.