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Finding the Fourth Proportional to 767.80, 1,059.72 and 436.30

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Solution

The fourth proportional to 767.80, 1,059.72 and 436.30 is: 602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.80 : 1,059.72 = 436.30 : x
  2. Step 2: Convert to fraction form
    767.80/1,059.72 = 436.30/x
  3. Step 3: Cross multiply
    767.80x = 1,059.72 × 436.30
  4. Step 4: Simplify right side
    767.80x = 462,355.84
  5. Step 5: Solve for x
    x = 462,355.84/767.80
  6. Step 6: Final answer
    x = 602.18

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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.