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Finding the Fourth Proportional to 525.81, 787.64 and 422.54

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Solution

The fourth proportional to 525.81, 787.64 and 422.54 is: 632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.81 : 787.64 = 422.54 : x
  2. Step 2: Convert to fraction form
    525.81/787.64 = 422.54/x
  3. Step 3: Cross multiply
    525.81x = 787.64 × 422.54
  4. Step 4: Simplify right side
    525.81x = 332,803.35
  5. Step 5: Solve for x
    x = 332,803.35/525.81
  6. Step 6: Final answer
    x = 632.93

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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.