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Finding the Fourth Proportional to 507.84, 761.76 and 123.09

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Solution

The fourth proportional to 507.84, 761.76 and 123.09 is: 184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.84 : 761.76 = 123.09 : x
  2. Step 2: Convert to fraction form
    507.84/761.76 = 123.09/x
  3. Step 3: Cross multiply
    507.84x = 761.76 × 123.09
  4. Step 4: Simplify right side
    507.84x = 93,760.61
  5. Step 5: Solve for x
    x = 93,760.61/507.84
  6. Step 6: Final answer
    x = 184.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.