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Finding the Fourth Proportional to 1,059.26, 1,588.98 and 289.76

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Solution

The fourth proportional to 1,059.26, 1,588.98 and 289.76 is: 434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.26 : 1,588.98 = 289.76 : x
  2. Step 2: Convert to fraction form
    1,059.26/1,588.98 = 289.76/x
  3. Step 3: Cross multiply
    1,059.26x = 1,588.98 × 289.76
  4. Step 4: Simplify right side
    1,059.26x = 460,422.84
  5. Step 5: Solve for x
    x = 460,422.84/1,059.26
  6. Step 6: Final answer
    x = 434.66

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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.