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Finding the Fourth Proportional to 1,009.13, 1,392.60 and 589.77

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Solution

The fourth proportional to 1,009.13, 1,392.60 and 589.77 is: 813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.13 : 1,392.60 = 589.77 : x
  2. Step 2: Convert to fraction form
    1,009.13/1,392.60 = 589.77/x
  3. Step 3: Cross multiply
    1,009.13x = 1,392.60 × 589.77
  4. Step 4: Simplify right side
    1,009.13x = 821,313.70
  5. Step 5: Solve for x
    x = 821,313.70/1,009.13
  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.