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Finding the Fourth Proportional to 812.61, 1,218.85 and 464.85

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Solution

The fourth proportional to 812.61, 1,218.85 and 464.85 is: 697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.61 : 1,218.85 = 464.85 : x
  2. Step 2: Convert to fraction form
    812.61/1,218.85 = 464.85/x
  3. Step 3: Cross multiply
    812.61x = 1,218.85 × 464.85
  4. Step 4: Simplify right side
    812.61x = 566,582.42
  5. Step 5: Solve for x
    x = 566,582.42/812.61
  6. Step 6: Final answer
    x = 697.24

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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.