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Finding the Fourth Proportional to 1,009.19, 1,392.71 and 589.56

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Solution

The fourth proportional to 1,009.19, 1,392.71 and 589.56 is: 813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.19 : 1,392.71 = 589.56 : x
  2. Step 2: Convert to fraction form
    1,009.19/1,392.71 = 589.56/x
  3. Step 3: Cross multiply
    1,009.19x = 1,392.71 × 589.56
  4. Step 4: Simplify right side
    1,009.19x = 821,083.16
  5. Step 5: Solve for x
    x = 821,083.16/1,009.19
  6. Step 6: Final answer
    x = 813.61

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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.