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Finding the Fourth Proportional to 1,059.21, 1,588.82 and 289.71

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Solution

The fourth proportional to 1,059.21, 1,588.82 and 289.71 is: 434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.21 : 1,588.82 = 289.71 : x
  2. Step 2: Convert to fraction form
    1,059.21/1,588.82 = 289.71/x
  3. Step 3: Cross multiply
    1,059.21x = 1,588.82 × 289.71
  4. Step 4: Simplify right side
    1,059.21x = 460,295.59
  5. Step 5: Solve for x
    x = 460,295.59/1,059.21
  6. Step 6: Final answer
    x = 434.57

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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.