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Finding the Fourth Proportional to 1,014.23, 1,519.82 and 782.77

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Solution

The fourth proportional to 1,014.23, 1,519.82 and 782.77 is: 1,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.23 : 1,519.82 = 782.77 : x
  2. Step 2: Convert to fraction form
    1,014.23/1,519.82 = 782.77/x
  3. Step 3: Cross multiply
    1,014.23x = 1,519.82 × 782.77
  4. Step 4: Simplify right side
    1,014.23x = 1,189,669.50
  5. Step 5: Solve for x
    x = 1,189,669.50/1,014.23
  6. Step 6: Final answer
    x = 1,172.98

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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.