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Finding the Fourth Proportional to 1,149.97, 1,586.90 and 626.00

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Solution

The fourth proportional to 1,149.97, 1,586.90 and 626.00 is: 863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.97 : 1,586.90 = 626.00 : x
  2. Step 2: Convert to fraction form
    1,149.97/1,586.90 = 626.00/x
  3. Step 3: Cross multiply
    1,149.97x = 1,586.90 × 626.00
  4. Step 4: Simplify right side
    1,149.97x = 993,391.47
  5. Step 5: Solve for x
    x = 993,391.47/1,149.97
  6. Step 6: Final answer
    x = 863.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.