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Finding the Fourth Proportional to 1,057.98, 1,460.25 and 615.95

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Solution

The fourth proportional to 1,057.98, 1,460.25 and 615.95 is: 850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.98 : 1,460.25 = 615.95 : x
  2. Step 2: Convert to fraction form
    1,057.98/1,460.25 = 615.95/x
  3. Step 3: Cross multiply
    1,057.98x = 1,460.25 × 615.95
  4. Step 4: Simplify right side
    1,057.98x = 899,433.69
  5. Step 5: Solve for x
    x = 899,433.69/1,057.98
  6. Step 6: Final answer
    x = 850.14

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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.