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Finding the Fourth Proportional to 785.72, 1,084.28 and 431.63

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Solution

The fourth proportional to 785.72, 1,084.28 and 431.63 is: 595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.72 : 1,084.28 = 431.63 : x
  2. Step 2: Convert to fraction form
    785.72/1,084.28 = 431.63/x
  3. Step 3: Cross multiply
    785.72x = 1,084.28 × 431.63
  4. Step 4: Simplify right side
    785.72x = 468,000.20
  5. Step 5: Solve for x
    x = 468,000.20/785.72
  6. Step 6: Final answer
    x = 595.64

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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.