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Finding the Fourth Proportional to 1,655.72, 2,482.14 and 629

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Solution

The fourth proportional to 1,655.72, 2,482.14 and 629 is: 942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.72 : 2,482.14 = 629 : x
  2. Step 2: Convert to fraction form
    1,655.72/2,482.14 = 629/x
  3. Step 3: Cross multiply
    1,655.72x = 2,482.14 × 629
  4. Step 4: Simplify right side
    1,655.72x = 1,561,266.06
  5. Step 5: Solve for x
    x = 1,561,266.06/1,655.72
  6. Step 6: Final answer
    x = 942.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.