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Finding the Fourth Proportional to 1,059.63, 1,589.46 and 290.13

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Solution

The fourth proportional to 1,059.63, 1,589.46 and 290.13 is: 435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.63 : 1,589.46 = 290.13 : x
  2. Step 2: Convert to fraction form
    1,059.63/1,589.46 = 290.13/x
  3. Step 3: Cross multiply
    1,059.63x = 1,589.46 × 290.13
  4. Step 4: Simplify right side
    1,059.63x = 461,150.03
  5. Step 5: Solve for x
    x = 461,150.03/1,059.63
  6. Step 6: Final answer
    x = 435.20

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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.