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Finding the Fourth Proportional to 1,218.46, 1,827.14 and 756.22

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Solution

The fourth proportional to 1,218.46, 1,827.14 and 756.22 is: 1,133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.46 : 1,827.14 = 756.22 : x
  2. Step 2: Convert to fraction form
    1,218.46/1,827.14 = 756.22/x
  3. Step 3: Cross multiply
    1,218.46x = 1,827.14 × 756.22
  4. Step 4: Simplify right side
    1,218.46x = 1,381,719.81
  5. Step 5: Solve for x
    x = 1,381,719.81/1,218.46
  6. Step 6: Final answer
    x = 1,133.99

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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.