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Finding the Fourth Proportional to 944.82, 1,417.20 and 431.82

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Solution

The fourth proportional to 944.82, 1,417.20 and 431.82 is: 647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.82 : 1,417.20 = 431.82 : x
  2. Step 2: Convert to fraction form
    944.82/1,417.20 = 431.82/x
  3. Step 3: Cross multiply
    944.82x = 1,417.20 × 431.82
  4. Step 4: Simplify right side
    944.82x = 611,975.30
  5. Step 5: Solve for x
    x = 611,975.30/944.82
  6. Step 6: Final answer
    x = 647.72

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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.