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Finding the Fourth Proportional to 1,009.08, 1,392.72 and 589.56

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Solution

The fourth proportional to 1,009.08, 1,392.72 and 589.56 is: 813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.08 : 1,392.72 = 589.56 : x
  2. Step 2: Convert to fraction form
    1,009.08/1,392.72 = 589.56/x
  3. Step 3: Cross multiply
    1,009.08x = 1,392.72 × 589.56
  4. Step 4: Simplify right side
    1,009.08x = 821,092.00
  5. Step 5: Solve for x
    x = 821,092.00/1,009.08
  6. Step 6: Final answer
    x = 813.70

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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.