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Finding the Fourth Proportional to 753.60, 1,039.94 and 422.01

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Solution

The fourth proportional to 753.60, 1,039.94 and 422.01 is: 582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.60 : 1,039.94 = 422.01 : x
  2. Step 2: Convert to fraction form
    753.60/1,039.94 = 422.01/x
  3. Step 3: Cross multiply
    753.60x = 1,039.94 × 422.01
  4. Step 4: Simplify right side
    753.60x = 438,864.55
  5. Step 5: Solve for x
    x = 438,864.55/753.60
  6. Step 6: Final answer
    x = 582.35

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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.