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Finding the Fourth Proportional to 762.84, 1,143.54 and 618.84

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Solution

The fourth proportional to 762.84, 1,143.54 and 618.84 is: 927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.84 : 1,143.54 = 618.84 : x
  2. Step 2: Convert to fraction form
    762.84/1,143.54 = 618.84/x
  3. Step 3: Cross multiply
    762.84x = 1,143.54 × 618.84
  4. Step 4: Simplify right side
    762.84x = 707,668.29
  5. Step 5: Solve for x
    x = 707,668.29/762.84
  6. Step 6: Final answer
    x = 927.68

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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.