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Finding the Fourth Proportional to 767.49, 1,059.14 and 435.92

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Solution

The fourth proportional to 767.49, 1,059.14 and 435.92 is: 601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.49 : 1,059.14 = 435.92 : x
  2. Step 2: Convert to fraction form
    767.49/1,059.14 = 435.92/x
  3. Step 3: Cross multiply
    767.49x = 1,059.14 × 435.92
  4. Step 4: Simplify right side
    767.49x = 461,700.31
  5. Step 5: Solve for x
    x = 461,700.31/767.49
  6. Step 6: Final answer
    x = 601.57

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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.