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Finding the Fourth Proportional to 762.59, 1,141.63 and 502.09

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Solution

The fourth proportional to 762.59, 1,141.63 and 502.09 is: 751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.59 : 1,141.63 = 502.09 : x
  2. Step 2: Convert to fraction form
    762.59/1,141.63 = 502.09/x
  3. Step 3: Cross multiply
    762.59x = 1,141.63 × 502.09
  4. Step 4: Simplify right side
    762.59x = 573,201.01
  5. Step 5: Solve for x
    x = 573,201.01/762.59
  6. Step 6: Final answer
    x = 751.65

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