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Finding the Fourth Proportional to 592.56, 886.74 and 519.24

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Solution

The fourth proportional to 592.56, 886.74 and 519.24 is: 777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.56 : 886.74 = 519.24 : x
  2. Step 2: Convert to fraction form
    592.56/886.74 = 519.24/x
  3. Step 3: Cross multiply
    592.56x = 886.74 × 519.24
  4. Step 4: Simplify right side
    592.56x = 460,430.88
  5. Step 5: Solve for x
    x = 460,430.88/592.56
  6. Step 6: Final answer
    x = 777.02

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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.