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Finding the Fourth Proportional to 1,250.98, 1,727.66 and 974.50

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Solution

The fourth proportional to 1,250.98, 1,727.66 and 974.50 is: 1,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.98 : 1,727.66 = 974.50 : x
  2. Step 2: Convert to fraction form
    1,250.98/1,727.66 = 974.50/x
  3. Step 3: Cross multiply
    1,250.98x = 1,727.66 × 974.50
  4. Step 4: Simplify right side
    1,250.98x = 1,683,602.79
  5. Step 5: Solve for x
    x = 1,683,602.79/1,250.98
  6. Step 6: Final answer
    x = 1,345.83

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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.