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Finding the Fourth Proportional to 1,140.18, 1,710.68 and 409.97

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Solution

The fourth proportional to 1,140.18, 1,710.68 and 409.97 is: 615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.18 : 1,710.68 = 409.97 : x
  2. Step 2: Convert to fraction form
    1,140.18/1,710.68 = 409.97/x
  3. Step 3: Cross multiply
    1,140.18x = 1,710.68 × 409.97
  4. Step 4: Simplify right side
    1,140.18x = 701,316.88
  5. Step 5: Solve for x
    x = 701,316.88/1,140.18
  6. Step 6: Final answer
    x = 615.09

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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.