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Finding the Fourth Proportional to 1,254.69, 1,732.10 and 974.30

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Solution

The fourth proportional to 1,254.69, 1,732.10 and 974.30 is: 1,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.69 : 1,732.10 = 974.30 : x
  2. Step 2: Convert to fraction form
    1,254.69/1,732.10 = 974.30/x
  3. Step 3: Cross multiply
    1,254.69x = 1,732.10 × 974.30
  4. Step 4: Simplify right side
    1,254.69x = 1,687,571.50
  5. Step 5: Solve for x
    x = 1,687,571.50/1,254.69
  6. Step 6: Final answer
    x = 1,345.01

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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.