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Finding the Fourth Proportional to 585.64, 805.77 and 512.14

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Solution

The fourth proportional to 585.64, 805.77 and 512.14 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.64 : 805.77 = 512.14 : x
  2. Step 2: Convert to fraction form
    585.64/805.77 = 512.14/x
  3. Step 3: Cross multiply
    585.64x = 805.77 × 512.14
  4. Step 4: Simplify right side
    585.64x = 412,667.05
  5. Step 5: Solve for x
    x = 412,667.05/585.64
  6. Step 6: Final answer
    x = 704.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.