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Finding the Fourth Proportional to 590.13, 884.87 and 523.52

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Solution

The fourth proportional to 590.13, 884.87 and 523.52 is: 784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.13 : 884.87 = 523.52 : x
  2. Step 2: Convert to fraction form
    590.13/884.87 = 523.52/x
  3. Step 3: Cross multiply
    590.13x = 884.87 × 523.52
  4. Step 4: Simplify right side
    590.13x = 463,240.10
  5. Step 5: Solve for x
    x = 463,240.10/590.13
  6. Step 6: Final answer
    x = 784.98

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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.