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Finding the Fourth Proportional to 1,074.56, 1,483.16 and 700.90

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Solution

The fourth proportional to 1,074.56, 1,483.16 and 700.90 is: 967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.56 : 1,483.16 = 700.90 : x
  2. Step 2: Convert to fraction form
    1,074.56/1,483.16 = 700.90/x
  3. Step 3: Cross multiply
    1,074.56x = 1,483.16 × 700.90
  4. Step 4: Simplify right side
    1,074.56x = 1,039,546.84
  5. Step 5: Solve for x
    x = 1,039,546.84/1,074.56
  6. Step 6: Final answer
    x = 967.42

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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.