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Finding the Fourth Proportional to 755.07, 1,041.69 and 460.23

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Solution

The fourth proportional to 755.07, 1,041.69 and 460.23 is: 634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.07 : 1,041.69 = 460.23 : x
  2. Step 2: Convert to fraction form
    755.07/1,041.69 = 460.23/x
  3. Step 3: Cross multiply
    755.07x = 1,041.69 × 460.23
  4. Step 4: Simplify right side
    755.07x = 479,416.99
  5. Step 5: Solve for x
    x = 479,416.99/755.07
  6. Step 6: Final answer
    x = 634.93

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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.