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Finding the Fourth Proportional to 762.84, 1,142.91 and 518.49

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Solution

The fourth proportional to 762.84, 1,142.91 and 518.49 is: 776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.84 : 1,142.91 = 518.49 : x
  2. Step 2: Convert to fraction form
    762.84/1,142.91 = 518.49/x
  3. Step 3: Cross multiply
    762.84x = 1,142.91 × 518.49
  4. Step 4: Simplify right side
    762.84x = 592,587.41
  5. Step 5: Solve for x
    x = 592,587.41/762.84
  6. Step 6: Final answer
    x = 776.82

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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.