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Finding the Fourth Proportional to 1,059.80, 1,589.56 and 410.20

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Solution

The fourth proportional to 1,059.80, 1,589.56 and 410.20 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.80 : 1,589.56 = 410.20 : x
  2. Step 2: Convert to fraction form
    1,059.80/1,589.56 = 410.20/x
  3. Step 3: Cross multiply
    1,059.80x = 1,589.56 × 410.20
  4. Step 4: Simplify right side
    1,059.80x = 652,037.51
  5. Step 5: Solve for x
    x = 652,037.51/1,059.80
  6. Step 6: Final answer
    x = 615.25

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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.