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Finding the Fourth Proportional to 583.52, 874.20 and 518.72

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Solution

The fourth proportional to 583.52, 874.20 and 518.72 is: 777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.52 : 874.20 = 518.72 : x
  2. Step 2: Convert to fraction form
    583.52/874.20 = 518.72/x
  3. Step 3: Cross multiply
    583.52x = 874.20 × 518.72
  4. Step 4: Simplify right side
    583.52x = 453,465.02
  5. Step 5: Solve for x
    x = 453,465.02/583.52
  6. Step 6: Final answer
    x = 777.12

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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.