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Finding the Fourth Proportional to 753.64, 1,129.56 and 406.48

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Solution

The fourth proportional to 753.64, 1,129.56 and 406.48 is: 609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.64 : 1,129.56 = 406.48 : x
  2. Step 2: Convert to fraction form
    753.64/1,129.56 = 406.48/x
  3. Step 3: Cross multiply
    753.64x = 1,129.56 × 406.48
  4. Step 4: Simplify right side
    753.64x = 459,143.55
  5. Step 5: Solve for x
    x = 459,143.55/753.64
  6. Step 6: Final answer
    x = 609.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.