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Finding the Fourth Proportional to 1,216.08, 1,677.11 and 953.64

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Solution

The fourth proportional to 1,216.08, 1,677.11 and 953.64 is: 1,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.08 : 1,677.11 = 953.64 : x
  2. Step 2: Convert to fraction form
    1,216.08/1,677.11 = 953.64/x
  3. Step 3: Cross multiply
    1,216.08x = 1,677.11 × 953.64
  4. Step 4: Simplify right side
    1,216.08x = 1,599,354.41
  5. Step 5: Solve for x
    x = 1,599,354.41/1,216.08
  6. Step 6: Final answer
    x = 1,315.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.