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Finding the Fourth Proportional to 1,074.54, 1,482.87 and 632.45

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Solution

The fourth proportional to 1,074.54, 1,482.87 and 632.45 is: 872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.54 : 1,482.87 = 632.45 : x
  2. Step 2: Convert to fraction form
    1,074.54/1,482.87 = 632.45/x
  3. Step 3: Cross multiply
    1,074.54x = 1,482.87 × 632.45
  4. Step 4: Simplify right side
    1,074.54x = 937,833.72
  5. Step 5: Solve for x
    x = 937,833.72/1,074.54
  6. Step 6: Final answer
    x = 872.78

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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.