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Finding the Fourth Proportional to 1,059.45, 1,589.16 and 289.95

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Solution

The fourth proportional to 1,059.45, 1,589.16 and 289.95 is: 434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.45 : 1,589.16 = 289.95 : x
  2. Step 2: Convert to fraction form
    1,059.45/1,589.16 = 289.95/x
  3. Step 3: Cross multiply
    1,059.45x = 1,589.16 × 289.95
  4. Step 4: Simplify right side
    1,059.45x = 460,776.94
  5. Step 5: Solve for x
    x = 460,776.94/1,059.45
  6. Step 6: Final answer
    x = 434.92

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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.