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Finding the Fourth Proportional to 1,074.31, 1,482.69 and 654.79

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Solution

The fourth proportional to 1,074.31, 1,482.69 and 654.79 is: 903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.31 : 1,482.69 = 654.79 : x
  2. Step 2: Convert to fraction form
    1,074.31/1,482.69 = 654.79/x
  3. Step 3: Cross multiply
    1,074.31x = 1,482.69 × 654.79
  4. Step 4: Simplify right side
    1,074.31x = 970,850.59
  5. Step 5: Solve for x
    x = 970,850.59/1,074.31
  6. Step 6: Final answer
    x = 903.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.