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Finding the Fourth Proportional to 591.12, 885.60 and 509.04

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Solution

The fourth proportional to 591.12, 885.60 and 509.04 is: 762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.12 : 885.60 = 509.04 : x
  2. Step 2: Convert to fraction form
    591.12/885.60 = 509.04/x
  3. Step 3: Cross multiply
    591.12x = 885.60 × 509.04
  4. Step 4: Simplify right side
    591.12x = 450,805.82
  5. Step 5: Solve for x
    x = 450,805.82/591.12
  6. Step 6: Final answer
    x = 762.63

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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.