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Finding the Fourth Proportional to 822.77, 1,234.16 and 437.93

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Solution

The fourth proportional to 822.77, 1,234.16 and 437.93 is: 656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.77 : 1,234.16 = 437.93 : x
  2. Step 2: Convert to fraction form
    822.77/1,234.16 = 437.93/x
  3. Step 3: Cross multiply
    822.77x = 1,234.16 × 437.93
  4. Step 4: Simplify right side
    822.77x = 540,473.50
  5. Step 5: Solve for x
    x = 540,473.50/822.77
  6. Step 6: Final answer
    x = 656.90

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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.