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Finding the Fourth Proportional to 591.05, 885.96 and 510.26

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Solution

The fourth proportional to 591.05, 885.96 and 510.26 is: 764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.05 : 885.96 = 510.26 : x
  2. Step 2: Convert to fraction form
    591.05/885.96 = 510.26/x
  3. Step 3: Cross multiply
    591.05x = 885.96 × 510.26
  4. Step 4: Simplify right side
    591.05x = 452,065.52
  5. Step 5: Solve for x
    x = 452,065.52/591.05
  6. Step 6: Final answer
    x = 764.86

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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.