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Finding the Fourth Proportional to 1,059.66, 1,590.09 and 410.43

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Solution

The fourth proportional to 1,059.66, 1,590.09 and 410.43 is: 615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.66 : 1,590.09 = 410.43 : x
  2. Step 2: Convert to fraction form
    1,059.66/1,590.09 = 410.43/x
  3. Step 3: Cross multiply
    1,059.66x = 1,590.09 × 410.43
  4. Step 4: Simplify right side
    1,059.66x = 652,620.64
  5. Step 5: Solve for x
    x = 652,620.64/1,059.66
  6. Step 6: Final answer
    x = 615.88

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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.