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Finding the Fourth Proportional to 741.64, 1,023.46 and 431.32

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Solution

The fourth proportional to 741.64, 1,023.46 and 431.32 is: 595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.64 : 1,023.46 = 431.32 : x
  2. Step 2: Convert to fraction form
    741.64/1,023.46 = 431.32/x
  3. Step 3: Cross multiply
    741.64x = 1,023.46 × 431.32
  4. Step 4: Simplify right side
    741.64x = 441,438.77
  5. Step 5: Solve for x
    x = 441,438.77/741.64
  6. Step 6: Final answer
    x = 595.22

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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.