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Finding the Fourth Proportional to 589.80, 885.90 and 519.30

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Solution

The fourth proportional to 589.80, 885.90 and 519.30 is: 780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 885.90 = 519.30 : x
  2. Step 2: Convert to fraction form
    589.80/885.90 = 519.30/x
  3. Step 3: Cross multiply
    589.80x = 885.90 × 519.30
  4. Step 4: Simplify right side
    589.80x = 460,047.87
  5. Step 5: Solve for x
    x = 460,047.87/589.80
  6. Step 6: Final answer
    x = 780.01

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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.