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Finding the Fourth Proportional to 591.02, 882.18 and 514.52

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Solution

The fourth proportional to 591.02, 882.18 and 514.52 is: 767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.02 : 882.18 = 514.52 : x
  2. Step 2: Convert to fraction form
    591.02/882.18 = 514.52/x
  3. Step 3: Cross multiply
    591.02x = 882.18 × 514.52
  4. Step 4: Simplify right side
    591.02x = 453,899.25
  5. Step 5: Solve for x
    x = 453,899.25/591.02
  6. Step 6: Final answer
    x = 767.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.