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Finding the Fourth Proportional to 1,216.56, 1,825.44 and 971.10

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Solution

The fourth proportional to 1,216.56, 1,825.44 and 971.10 is: 1,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.56 : 1,825.44 = 971.10 : x
  2. Step 2: Convert to fraction form
    1,216.56/1,825.44 = 971.10/x
  3. Step 3: Cross multiply
    1,216.56x = 1,825.44 × 971.10
  4. Step 4: Simplify right side
    1,216.56x = 1,772,684.78
  5. Step 5: Solve for x
    x = 1,772,684.78/1,216.56
  6. Step 6: Final answer
    x = 1,457.13

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Why These Related Problems?

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