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Finding the Fourth Proportional to 768.66, 1,059.54 and 502.63

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Solution

The fourth proportional to 768.66, 1,059.54 and 502.63 is: 692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.66 : 1,059.54 = 502.63 : x
  2. Step 2: Convert to fraction form
    768.66/1,059.54 = 502.63/x
  3. Step 3: Cross multiply
    768.66x = 1,059.54 × 502.63
  4. Step 4: Simplify right side
    768.66x = 532,552.06
  5. Step 5: Solve for x
    x = 532,552.06/768.66
  6. Step 6: Final answer
    x = 692.84

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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.