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Finding the Fourth Proportional to 1,059.88, 1,587.42 and 626.20

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Solution

The fourth proportional to 1,059.88, 1,587.42 and 626.20 is: 937.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.88 : 1,587.42 = 626.20 : x
  2. Step 2: Convert to fraction form
    1,059.88/1,587.42 = 626.20/x
  3. Step 3: Cross multiply
    1,059.88x = 1,587.42 × 626.20
  4. Step 4: Simplify right side
    1,059.88x = 994,042.40
  5. Step 5: Solve for x
    x = 994,042.40/1,059.88
  6. Step 6: Final answer
    x = 937.88

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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.