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Finding the Fourth Proportional to 1,074.82, 1,482.87 and 795.64

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Solution

The fourth proportional to 1,074.82, 1,482.87 and 795.64 is: 1,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.82 : 1,482.87 = 795.64 : x
  2. Step 2: Convert to fraction form
    1,074.82/1,482.87 = 795.64/x
  3. Step 3: Cross multiply
    1,074.82x = 1,482.87 × 795.64
  4. Step 4: Simplify right side
    1,074.82x = 1,179,830.69
  5. Step 5: Solve for x
    x = 1,179,830.69/1,074.82
  6. Step 6: Final answer
    x = 1,097.70

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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.