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Finding the Fourth Proportional to 1,009.97, 1,393.52 and 590.09

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Solution

The fourth proportional to 1,009.97, 1,393.52 and 590.09 is: 814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.97 : 1,393.52 = 590.09 : x
  2. Step 2: Convert to fraction form
    1,009.97/1,393.52 = 590.09/x
  3. Step 3: Cross multiply
    1,009.97x = 1,393.52 × 590.09
  4. Step 4: Simplify right side
    1,009.97x = 822,292.30
  5. Step 5: Solve for x
    x = 822,292.30/1,009.97
  6. Step 6: Final answer
    x = 814.17

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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.