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Finding the Fourth Proportional to 762.59, 1,143.87 and 214.77

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Solution

The fourth proportional to 762.59, 1,143.87 and 214.77 is: 322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.59 : 1,143.87 = 214.77 : x
  2. Step 2: Convert to fraction form
    762.59/1,143.87 = 214.77/x
  3. Step 3: Cross multiply
    762.59x = 1,143.87 × 214.77
  4. Step 4: Simplify right side
    762.59x = 245,668.96
  5. Step 5: Solve for x
    x = 245,668.96/762.59
  6. Step 6: Final answer
    x = 322.15

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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.