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Finding the Fourth Proportional to 1,234.77, 1,703.76 and 762.29

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Solution

The fourth proportional to 1,234.77, 1,703.76 and 762.29 is: 1,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.77 : 1,703.76 = 762.29 : x
  2. Step 2: Convert to fraction form
    1,234.77/1,703.76 = 762.29/x
  3. Step 3: Cross multiply
    1,234.77x = 1,703.76 × 762.29
  4. Step 4: Simplify right side
    1,234.77x = 1,298,759.21
  5. Step 5: Solve for x
    x = 1,298,759.21/1,234.77
  6. Step 6: Final answer
    x = 1,051.82

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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.