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Finding the Fourth Proportional to 1,130.94, 1,694.60 and 472.26

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Solution

The fourth proportional to 1,130.94, 1,694.60 and 472.26 is: 707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.94 : 1,694.60 = 472.26 : x
  2. Step 2: Convert to fraction form
    1,130.94/1,694.60 = 472.26/x
  3. Step 3: Cross multiply
    1,130.94x = 1,694.60 × 472.26
  4. Step 4: Simplify right side
    1,130.94x = 800,289.43
  5. Step 5: Solve for x
    x = 800,289.43/1,130.94
  6. Step 6: Final answer
    x = 707.63

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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.