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Finding the Fourth Proportional to 1,009.45, 1,392.57 and 589.82

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Solution

The fourth proportional to 1,009.45, 1,392.57 and 589.82 is: 813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.45 : 1,392.57 = 589.82 : x
  2. Step 2: Convert to fraction form
    1,009.45/1,392.57 = 589.82/x
  3. Step 3: Cross multiply
    1,009.45x = 1,392.57 × 589.82
  4. Step 4: Simplify right side
    1,009.45x = 821,357.02
  5. Step 5: Solve for x
    x = 821,357.02/1,009.45
  6. Step 6: Final answer
    x = 813.67

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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.