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Finding the Fourth Proportional to 753.59, 1,039.97 and 422.01

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Solution

The fourth proportional to 753.59, 1,039.97 and 422.01 is: 582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.59 : 1,039.97 = 422.01 : x
  2. Step 2: Convert to fraction form
    753.59/1,039.97 = 422.01/x
  3. Step 3: Cross multiply
    753.59x = 1,039.97 × 422.01
  4. Step 4: Simplify right side
    753.59x = 438,875.63
  5. Step 5: Solve for x
    x = 438,875.63/753.59
  6. Step 6: Final answer
    x = 582.38

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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.