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Finding the Fourth Proportional to 768.50, 1,060.56 and 458.18

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Solution

The fourth proportional to 768.50, 1,060.56 and 458.18 is: 632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.50 : 1,060.56 = 458.18 : x
  2. Step 2: Convert to fraction form
    768.50/1,060.56 = 458.18/x
  3. Step 3: Cross multiply
    768.50x = 1,060.56 × 458.18
  4. Step 4: Simplify right side
    768.50x = 485,927.38
  5. Step 5: Solve for x
    x = 485,927.38/768.50
  6. Step 6: Final answer
    x = 632.31

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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.