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Finding the Fourth Proportional to 767.59, 1,059.38 and 431.53

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Solution

The fourth proportional to 767.59, 1,059.38 and 431.53 is: 595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.59 : 1,059.38 = 431.53 : x
  2. Step 2: Convert to fraction form
    767.59/1,059.38 = 431.53/x
  3. Step 3: Cross multiply
    767.59x = 1,059.38 × 431.53
  4. Step 4: Simplify right side
    767.59x = 457,148.95
  5. Step 5: Solve for x
    x = 457,148.95/767.59
  6. Step 6: Final answer
    x = 595.57

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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.