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Finding the Fourth Proportional to 1,245.03, 1,865.11 and 756.87

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Solution

The fourth proportional to 1,245.03, 1,865.11 and 756.87 is: 1,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.03 : 1,865.11 = 756.87 : x
  2. Step 2: Convert to fraction form
    1,245.03/1,865.11 = 756.87/x
  3. Step 3: Cross multiply
    1,245.03x = 1,865.11 × 756.87
  4. Step 4: Simplify right side
    1,245.03x = 1,411,645.81
  5. Step 5: Solve for x
    x = 1,411,645.81/1,245.03
  6. Step 6: Final answer
    x = 1,133.82

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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.