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Finding the Fourth Proportional to 582.98, 873.44 and 519.42

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Solution

The fourth proportional to 582.98, 873.44 and 519.42 is: 778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.98 : 873.44 = 519.42 : x
  2. Step 2: Convert to fraction form
    582.98/873.44 = 519.42/x
  3. Step 3: Cross multiply
    582.98x = 873.44 × 519.42
  4. Step 4: Simplify right side
    582.98x = 453,683.84
  5. Step 5: Solve for x
    x = 453,683.84/582.98
  6. Step 6: Final answer
    x = 778.21

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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.