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Finding the Fourth Proportional to 768.15, 1,059.84 and 436.46

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Solution

The fourth proportional to 768.15, 1,059.84 and 436.46 is: 602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.15 : 1,059.84 = 436.46 : x
  2. Step 2: Convert to fraction form
    768.15/1,059.84 = 436.46/x
  3. Step 3: Cross multiply
    768.15x = 1,059.84 × 436.46
  4. Step 4: Simplify right side
    768.15x = 462,572.47
  5. Step 5: Solve for x
    x = 462,572.47/768.15
  6. Step 6: Final answer
    x = 602.19

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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.