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Finding the Fourth Proportional to 1,086.70, 1,629.15 and 573.70

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Solution

The fourth proportional to 1,086.70, 1,629.15 and 573.70 is: 860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.70 : 1,629.15 = 573.70 : x
  2. Step 2: Convert to fraction form
    1,086.70/1,629.15 = 573.70/x
  3. Step 3: Cross multiply
    1,086.70x = 1,629.15 × 573.70
  4. Step 4: Simplify right side
    1,086.70x = 934,643.36
  5. Step 5: Solve for x
    x = 934,643.36/1,086.70
  6. Step 6: Final answer
    x = 860.07

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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.