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Finding the Fourth Proportional to 1,009.73, 1,393.47 and 590.36

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Solution

The fourth proportional to 1,009.73, 1,393.47 and 590.36 is: 814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.73 : 1,393.47 = 590.36 : x
  2. Step 2: Convert to fraction form
    1,009.73/1,393.47 = 590.36/x
  3. Step 3: Cross multiply
    1,009.73x = 1,393.47 × 590.36
  4. Step 4: Simplify right side
    1,009.73x = 822,641.98
  5. Step 5: Solve for x
    x = 822,641.98/1,009.73
  6. Step 6: Final answer
    x = 814.71

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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.