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Finding the Fourth Proportional to 768.02, 1,059.68 and 436.37

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Solution

The fourth proportional to 768.02, 1,059.68 and 436.37 is: 602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.02 : 1,059.68 = 436.37 : x
  2. Step 2: Convert to fraction form
    768.02/1,059.68 = 436.37/x
  3. Step 3: Cross multiply
    768.02x = 1,059.68 × 436.37
  4. Step 4: Simplify right side
    768.02x = 462,405.08
  5. Step 5: Solve for x
    x = 462,405.08/768.02
  6. Step 6: Final answer
    x = 602.08

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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.