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Finding the Fourth Proportional to 753.18, 1,039.46 and 434.26

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Solution

The fourth proportional to 753.18, 1,039.46 and 434.26 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.18 : 1,039.46 = 434.26 : x
  2. Step 2: Convert to fraction form
    753.18/1,039.46 = 434.26/x
  3. Step 3: Cross multiply
    753.18x = 1,039.46 × 434.26
  4. Step 4: Simplify right side
    753.18x = 451,395.90
  5. Step 5: Solve for x
    x = 451,395.90/753.18
  6. Step 6: Final answer
    x = 599.32

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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.