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Finding the Fourth Proportional to 767.95, 1,059.64 and 431.87

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Solution

The fourth proportional to 767.95, 1,059.64 and 431.87 is: 595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.95 : 1,059.64 = 431.87 : x
  2. Step 2: Convert to fraction form
    767.95/1,059.64 = 431.87/x
  3. Step 3: Cross multiply
    767.95x = 1,059.64 × 431.87
  4. Step 4: Simplify right side
    767.95x = 457,621.43
  5. Step 5: Solve for x
    x = 457,621.43/767.95
  6. Step 6: Final answer
    x = 595.90

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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.