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Finding the Fourth Proportional to 1,124.33, 1,550.75 and 730.94

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Solution

The fourth proportional to 1,124.33, 1,550.75 and 730.94 is: 1,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.33 : 1,550.75 = 730.94 : x
  2. Step 2: Convert to fraction form
    1,124.33/1,550.75 = 730.94/x
  3. Step 3: Cross multiply
    1,124.33x = 1,550.75 × 730.94
  4. Step 4: Simplify right side
    1,124.33x = 1,133,493.80
  5. Step 5: Solve for x
    x = 1,133,493.80/1,124.33
  6. Step 6: Final answer
    x = 1,008.15

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