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Finding the Fourth Proportional to 767.49, 1,059.06 and 435.87

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Solution

The fourth proportional to 767.49, 1,059.06 and 435.87 is: 601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.49 : 1,059.06 = 435.87 : x
  2. Step 2: Convert to fraction form
    767.49/1,059.06 = 435.87/x
  3. Step 3: Cross multiply
    767.49x = 1,059.06 × 435.87
  4. Step 4: Simplify right side
    767.49x = 461,612.48
  5. Step 5: Solve for x
    x = 461,612.48/767.49
  6. Step 6: Final answer
    x = 601.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.