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Finding the Fourth Proportional to 1,057.04, 1,458.75 and 584.97

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Solution

The fourth proportional to 1,057.04, 1,458.75 and 584.97 is: 807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.04 : 1,458.75 = 584.97 : x
  2. Step 2: Convert to fraction form
    1,057.04/1,458.75 = 584.97/x
  3. Step 3: Cross multiply
    1,057.04x = 1,458.75 × 584.97
  4. Step 4: Simplify right side
    1,057.04x = 853,324.99
  5. Step 5: Solve for x
    x = 853,324.99/1,057.04
  6. Step 6: Final answer
    x = 807.28

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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.