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Finding the Fourth Proportional to 822.24, 1,233.90 and 437.76

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Solution

The fourth proportional to 822.24, 1,233.90 and 437.76 is: 656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.24 : 1,233.90 = 437.76 : x
  2. Step 2: Convert to fraction form
    822.24/1,233.90 = 437.76/x
  3. Step 3: Cross multiply
    822.24x = 1,233.90 × 437.76
  4. Step 4: Simplify right side
    822.24x = 540,152.06
  5. Step 5: Solve for x
    x = 540,152.06/822.24
  6. Step 6: Final answer
    x = 656.93

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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.