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Finding the Fourth Proportional to 1,009.40, 1,392.94 and 589.78

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Solution

The fourth proportional to 1,009.40, 1,392.94 and 589.78 is: 813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.40 : 1,392.94 = 589.78 : x
  2. Step 2: Convert to fraction form
    1,009.40/1,392.94 = 589.78/x
  3. Step 3: Cross multiply
    1,009.40x = 1,392.94 × 589.78
  4. Step 4: Simplify right side
    1,009.40x = 821,528.15
  5. Step 5: Solve for x
    x = 821,528.15/1,009.40
  6. Step 6: Final answer
    x = 813.88

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Why These Related Problems?

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