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Finding the Fourth Proportional to 599.02, 831.14 and 582

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Solution

The fourth proportional to 599.02, 831.14 and 582 is: 807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.02 : 831.14 = 582 : x
  2. Step 2: Convert to fraction form
    599.02/831.14 = 582/x
  3. Step 3: Cross multiply
    599.02x = 831.14 × 582
  4. Step 4: Simplify right side
    599.02x = 483,723.48
  5. Step 5: Solve for x
    x = 483,723.48/599.02
  6. Step 6: Final answer
    x = 807.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.