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Finding the Fourth Proportional to 1,009.12, 1,392.54 and 589.48

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Solution

The fourth proportional to 1,009.12, 1,392.54 and 589.48 is: 813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.12 : 1,392.54 = 589.48 : x
  2. Step 2: Convert to fraction form
    1,009.12/1,392.54 = 589.48/x
  3. Step 3: Cross multiply
    1,009.12x = 1,392.54 × 589.48
  4. Step 4: Simplify right side
    1,009.12x = 820,874.48
  5. Step 5: Solve for x
    x = 820,874.48/1,009.12
  6. Step 6: Final answer
    x = 813.46

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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.