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Finding the Fourth Proportional to 585.52, 874.01 and 509.04

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Solution

The fourth proportional to 585.52, 874.01 and 509.04 is: 759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.52 : 874.01 = 509.04 : x
  2. Step 2: Convert to fraction form
    585.52/874.01 = 509.04/x
  3. Step 3: Cross multiply
    585.52x = 874.01 × 509.04
  4. Step 4: Simplify right side
    585.52x = 444,906.05
  5. Step 5: Solve for x
    x = 444,906.05/585.52
  6. Step 6: Final answer
    x = 759.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.