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Finding the Fourth Proportional to 1,056, 1,584.02 and 406.65

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Solution

The fourth proportional to 1,056, 1,584.02 and 406.65 is: 609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056 : 1,584.02 = 406.65 : x
  2. Step 2: Convert to fraction form
    1,056/1,584.02 = 406.65/x
  3. Step 3: Cross multiply
    1,056x = 1,584.02 × 406.65
  4. Step 4: Simplify right side
    1,056x = 644,141.73
  5. Step 5: Solve for x
    x = 644,141.73/1,056
  6. Step 6: Final answer
    x = 609.98

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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.