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Finding the Fourth Proportional to 1,059, 1,589.14 and 451

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Solution

The fourth proportional to 1,059, 1,589.14 and 451 is: 676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059 : 1,589.14 = 451 : x
  2. Step 2: Convert to fraction form
    1,059/1,589.14 = 451/x
  3. Step 3: Cross multiply
    1,059x = 1,589.14 × 451
  4. Step 4: Simplify right side
    1,059x = 716,702.14
  5. Step 5: Solve for x
    x = 716,702.14/1,059
  6. Step 6: Final answer
    x = 676.77

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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.