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Finding the Fourth Proportional to 1,245.14, 1,868.13 and 782.39

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Solution

The fourth proportional to 1,245.14, 1,868.13 and 782.39 is: 1,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.14 : 1,868.13 = 782.39 : x
  2. Step 2: Convert to fraction form
    1,245.14/1,868.13 = 782.39/x
  3. Step 3: Cross multiply
    1,245.14x = 1,868.13 × 782.39
  4. Step 4: Simplify right side
    1,245.14x = 1,461,596.89
  5. Step 5: Solve for x
    x = 1,461,596.89/1,245.14
  6. Step 6: Final answer
    x = 1,173.85

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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.