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Finding the Fourth Proportional to 1,059.44, 1,588.62 and 434.53

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Solution

The fourth proportional to 1,059.44, 1,588.62 and 434.53 is: 651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.44 : 1,588.62 = 434.53 : x
  2. Step 2: Convert to fraction form
    1,059.44/1,588.62 = 434.53/x
  3. Step 3: Cross multiply
    1,059.44x = 1,588.62 × 434.53
  4. Step 4: Simplify right side
    1,059.44x = 690,295.11
  5. Step 5: Solve for x
    x = 690,295.11/1,059.44
  6. Step 6: Final answer
    x = 651.57

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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.