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Finding the Fourth Proportional to 1,073.66, 1,482.37 and 824.54

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Solution

The fourth proportional to 1,073.66, 1,482.37 and 824.54 is: 1,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.66 : 1,482.37 = 824.54 : x
  2. Step 2: Convert to fraction form
    1,073.66/1,482.37 = 824.54/x
  3. Step 3: Cross multiply
    1,073.66x = 1,482.37 × 824.54
  4. Step 4: Simplify right side
    1,073.66x = 1,222,261.83
  5. Step 5: Solve for x
    x = 1,222,261.83/1,073.66
  6. Step 6: Final answer
    x = 1,138.41

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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.