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Finding the Fourth Proportional to 767.54, 1,059.03 and 435.98

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Solution

The fourth proportional to 767.54, 1,059.03 and 435.98 is: 601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.54 : 1,059.03 = 435.98 : x
  2. Step 2: Convert to fraction form
    767.54/1,059.03 = 435.98/x
  3. Step 3: Cross multiply
    767.54x = 1,059.03 × 435.98
  4. Step 4: Simplify right side
    767.54x = 461,710.60
  5. Step 5: Solve for x
    x = 461,710.60/767.54
  6. Step 6: Final answer
    x = 601.55

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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.