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Finding the Fourth Proportional to 595.56, 825.38 and 586.45

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Solution

The fourth proportional to 595.56, 825.38 and 586.45 is: 812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.56 : 825.38 = 586.45 : x
  2. Step 2: Convert to fraction form
    595.56/825.38 = 586.45/x
  3. Step 3: Cross multiply
    595.56x = 825.38 × 586.45
  4. Step 4: Simplify right side
    595.56x = 484,044.10
  5. Step 5: Solve for x
    x = 484,044.10/595.56
  6. Step 6: Final answer
    x = 812.75

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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.