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Finding the Fourth Proportional to 590.94, 812.07 and 563.83

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Solution

The fourth proportional to 590.94, 812.07 and 563.83 is: 774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.94 : 812.07 = 563.83 : x
  2. Step 2: Convert to fraction form
    590.94/812.07 = 563.83/x
  3. Step 3: Cross multiply
    590.94x = 812.07 × 563.83
  4. Step 4: Simplify right side
    590.94x = 457,868.64
  5. Step 5: Solve for x
    x = 457,868.64/590.94
  6. Step 6: Final answer
    x = 774.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.