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Finding the Fourth Proportional to 582.80, 875.34 and 513.54

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Solution

The fourth proportional to 582.80, 875.34 and 513.54 is: 771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.80 : 875.34 = 513.54 : x
  2. Step 2: Convert to fraction form
    582.80/875.34 = 513.54/x
  3. Step 3: Cross multiply
    582.80x = 875.34 × 513.54
  4. Step 4: Simplify right side
    582.80x = 449,522.10
  5. Step 5: Solve for x
    x = 449,522.10/582.80
  6. Step 6: Final answer
    x = 771.32

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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.